Exponential Functions and Their Graphs

1. Definition of an Exponential Function

• is the initial value (or the vertical stretch/shrink factor),
• is the base, a positive constant ( ),
• is the exponent (independent variable).
  
  

2. Key Properties of Exponential Functions

• The domain is all real numbers ( ).
• The range depends on :
  • If , the range is .
  • If , the range is .
• The function is always increasing if (exponential growth).
• The function is always decreasing if (exponential decay).
• The horizontal asymptote is (the -axis).
• The -intercept is .
  
  

3. Graphing Exponential Functions

1. Identify the base to determine growth ( ) or decay ( ).
2. Find key points, usually:
   • , because .
   • , because .
   • , because .
3. Determine the asymptote, which is always (unless transformed).
4. Sketch the curve, ensuring it approaches the asymptote but never crosses it.

'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="407.442277pt" height="315.871262pt" viewBox="0 0 407.442277 315.871262" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-03-11T16:39:18.246292</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.871262 
L 407.442277 315.871262 
L 407.442277 0 
L 0 0 
L 0 315.871262 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.671262 
L 399.165529 308.671262 
L 399.165529 14.697115 
L 7.2 14.697115 
L 7.2 308.671262 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 397.213679 259.675571 
L 386.605801 263.918722 
L 388.727376 259.675571 
L 397.043953 259.675571 
L 397.043953 259.675571 
L 388.727376 259.675571 
L 386.605801 255.432419 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 203.182764 16.648965 
L 207.425916 27.256843 
L 203.182764 25.135268 
L 203.182764 16.818691 
L 203.182764 16.818691 
L 203.182764 25.135268 
L 198.939613 27.256843 
z
"/>
   </g>
   <g id="patch_5">
    <path d="M 296.716371 130.142261 
C 300.530344 128.023388 304.085589 125.469074 307.310717 122.530611 
C 310.535844 119.592148 313.409122 116.289336 315.872854 112.688497 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 271.776732 137.186343 
C 276.135642 136.996825 280.457874 136.302131 284.656636 135.116211 
C 288.855399 133.930291 292.902399 132.261135 296.716371 130.142261 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 271.287237 137.207625 
L 285.759248 131.67421 
L 283.035105 136.696849 
L 286.461566 136.547872 
L 286.461566 136.547872 
L 283.035105 136.696849 
L 286.184895 141.464099 
z
" clip-path="url(#p454ea500ec)"/>
   </g>
   <g id="patch_8">
    <path d="M 163.986211 132.286774 
C 167.58705 136.929961 171.714559 141.139657 176.285858 144.83133 
C 180.857156 148.523004 185.84144 151.671779 191.138624 154.214427 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_9">
    <path d="M 191.138624 154.214427 
C 196.435809 156.757076 202.010198 158.676464 207.749858 159.934051 
C 213.489519 161.191637 219.355773 161.778947 225.230825 161.684189 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_10">
    <path d="M 225.720718 161.676287 
L 211.102938 166.812264 
L 213.963282 161.865923 
L 210.534029 161.921234 
L 210.534029 161.921234 
L 213.963282 161.865923 
L 210.944908 157.0144 
z
" clip-path="url(#p454ea500ec)"/>
   </g>
   <g id="text_1">
    <!-- $g(x) = 4^x$ -->
    <g transform="translate(91.524641 118.914357) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-67" d="M 2163 811 
C 2138 709 2125 683 2042 588 
C 1779 249 1510 128 1312 128 
C 1101 128 902 294 902 734 
C 902 1073 1094 1788 1235 2076 
C 1421 2433 1709 2689 1978 2689 
C 2400 2689 2483 2165 2483 2127 
L 2464 2037 
L 2163 811 
z
M 2560 2395 
C 2477 2580 2298 2816 1978 2816 
C 1280 2816 486 1941 486 990 
C 486 326 890 0 1299 0 
C 1638 0 1939 268 2054 396 
L 1914 -171 
C 1824 -516 1786 -674 1555 -894 
C 1293 -1152 1050 -1152 909 -1152 
C 717 -1152 557 -1139 397 -1089 
C 602 -1033 653 -858 653 -789 
C 653 -689 576 -588 435 -588 
C 282 -588 115 -714 115 -922 
C 115 -1180 378 -1280 922 -1280 
C 1747 -1280 2176 -753 2259 -410 
L 2970 2435 
C 2989 2511 2989 2524 2989 2536 
C 2989 2625 2918 2695 2822 2695 
C 2669 2695 2579 2567 2560 2395 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-34" d="M 2150 4122 
C 2150 4256 2144 4256 2029 4256 
L 128 1254 
L 128 1088 
L 1779 1088 
L 1779 457 
C 1779 224 1766 160 1318 160 
L 1197 160 
L 1197 0 
C 1402 0 1747 0 1965 0 
C 2182 0 2528 0 2733 0 
L 2733 160 
L 2611 160 
C 2163 160 2150 224 2150 457 
L 2150 1088 
L 2803 1088 
L 2803 1254 
L 2150 1254 
L 2150 4122 
z
M 1798 3703 
L 1798 1254 
L 256 1254 
L 1798 3703 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-67" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(50.285489 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(85.566257 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(141.000317 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(203.955093 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-34" transform="translate(303.34389 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(349.034368 36.153639) scale(0.697382)"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $f(x) = 2^x$ -->
    <g transform="translate(301.174146 94.416512) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-66" d="M 2854 2566 
C 2982 2566 3034 2566 3034 2688 
C 3034 2752 2982 2752 2867 2752 
L 2349 2752 
C 2470 3429 2560 3897 2611 4107 
C 2650 4265 2784 4416 2950 4416 
C 3085 4416 3219 4358 3283 4298 
C 3034 4272 2957 4082 2957 3969 
C 2957 3837 3053 3759 3174 3759 
C 3302 3759 3494 3870 3494 4119 
C 3494 4393 3226 4544 2944 4544 
C 2669 4544 2400 4334 2272 4078 
C 2157 3848 2093 3611 1946 2752 
L 1517 2752 
C 1395 2752 1331 2752 1331 2637 
C 1331 2566 1370 2566 1498 2566 
L 1907 2566 
C 1792 1976 1530 542 1382 -137 
C 1274 -689 1178 -1152 858 -1152 
C 838 -1152 653 -1152 538 -1031 
C 864 -1005 864 -726 864 -720 
C 864 -593 768 -517 646 -517 
C 518 -517 326 -625 326 -867 
C 326 -1140 608 -1280 858 -1280 
C 1510 -1280 1779 -118 1850 199 
C 1965 688 2278 2376 2310 2566 
L 2854 2566 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-66" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(58.720305 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(94.001073 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(149.435132 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(212.389909 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(311.778706 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(357.469183 36.153639) scale(0.697382)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 7.2 259.484181 
L 15.199297 259.43557 
L 23.198593 259.374611 
L 31.19789 259.298168 
L 39.197186 259.202311 
L 47.196483 259.082105 
L 55.195779 258.931368 
L 63.195076 258.742345 
L 71.194372 258.505312 
L 79.193669 258.208073 
L 87.192965 257.835337 
L 95.192262 257.367928 
L 103.191558 256.781801 
L 111.190855 256.0468 
L 119.190151 255.125113 
L 127.189448 253.969324 
L 135.188744 252.519971 
L 143.188041 250.70249 
L 151.187337 248.42338 
L 159.186634 245.56539 
L 167.18593 241.981486 
L 175.185227 237.487292 
L 183.184523 231.851599 
L 191.18382 224.784474 
L 199.183116 215.922339 
L 207.182413 204.809275 
L 215.181709 190.873557 
L 223.181006 173.398248 
L 231.180302 151.484313 
L 239.179599 124.004367 
L 247.178895 89.544676 
L 255.178192 46.332425 
L 262.165472 -1 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #4775d1; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="line2d_2">
    <path d="M 7.2 256.61334 
L 15.199297 256.246427 
L 23.198593 255.835551 
L 31.19789 255.375445 
L 39.197186 254.860209 
L 47.196483 254.283238 
L 55.195779 253.637135 
L 63.195076 252.913617 
L 71.194372 252.103408 
L 79.193669 251.19612 
L 87.192965 250.180123 
L 95.192262 249.04239 
L 103.191558 247.768335 
L 111.190855 246.341624 
L 119.190151 244.743967 
L 127.189448 242.95488 
L 135.188744 240.951427 
L 143.188041 238.707922 
L 151.187337 236.195604 
L 159.186634 233.382262 
L 167.18593 230.231829 
L 175.185227 226.703916 
L 183.184523 222.753292 
L 191.18382 218.329308 
L 199.183116 213.375249 
L 207.182413 207.8276 
L 215.181709 201.615238 
L 223.181006 194.658519 
L 231.180302 186.868254 
L 239.179599 178.144568 
L 247.178895 168.375621 
L 255.178192 157.436171 
L 263.177488 145.185969 
L 271.176785 131.467962 
L 279.176081 116.10628 
L 287.175378 98.90398 
L 295.174674 79.640521 
L 303.173971 58.068937 
L 311.173267 33.912672 
L 319.172564 6.862033 
L 321.248726 -1 
" clip-path="url(#p454ea500ec)" style="fill: none; stroke: #e066ff; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_11">
    <path d="M 203.182764 308.671262 
L 203.182764 14.697115 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_12">
    <path d="M 7.2 259.675571 
L 399.165529 259.675571 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_3">
    <!-- $x$ -->
    <g transform="translate(384.466821 289.072985) scale(0.25 -0.25)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $y$ -->
    <g transform="translate(173.78535 24.496254) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\rm O$ -->
    <g transform="translate(173.78535 289.072985) scale(0.25 -0.25)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p454ea500ec">
   <rect x="7.2" y="14.697115" width="391.965529" height="293.974146"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Exponential Growth </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="412.20454pt" height="315.871262pt" viewBox="0 0 412.20454 315.871262" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-03-12T06:51:40.795223</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.871262 
L 412.20454 315.871262 
L 412.20454 0 
L 0 0 
L 0 315.871262 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 13.039012 308.671262 
L 405.00454 308.671262 
L 405.00454 14.697115 
L 13.039012 14.697115 
L 13.039012 308.671262 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 403.052691 259.675571 
L 392.444812 263.918722 
L 394.566388 259.675571 
L 402.882965 259.675571 
L 402.882965 259.675571 
L 394.566388 259.675571 
L 392.444812 255.432419 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 209.021776 16.648965 
L 213.264927 27.256843 
L 209.021776 25.135268 
L 209.021776 16.818691 
L 209.021776 16.818691 
L 209.021776 25.135268 
L 204.778625 27.256843 
z
"/>
   </g>
   <g id="patch_5">
    <path d="M 243.31876 73.491945 
C 237.633225 69.701588 231.527007 66.58376 225.122721 64.201068 
C 218.718434 61.818375 212.059234 60.186874 205.278838 59.339325 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_6">
    <path d="M 205.278838 59.339325 
C 198.498442 58.491775 191.64254 58.433889 184.8488 59.166828 
C 178.055059 59.899767 171.36926 61.418592 164.925654 63.692806 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_7">
    <path d="M 164.463629 63.855874 
L 176.693693 54.343602 
L 175.55222 59.942254 
L 178.786393 58.800781 
L 178.786393 58.800781 
L 175.55222 59.942254 
L 179.955043 63.584095 
z
" clip-path="url(#peab095b26b)"/>
   </g>
   <g id="patch_8">
    <path d="M 105.689031 119.732579 
C 101.875058 121.851453 98.319813 124.405767 95.094685 127.34423 
C 91.869558 130.282693 88.99628 133.585504 86.532548 137.186343 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_9">
    <path d="M 130.62867 112.688497 
C 126.26976 112.878015 121.947528 113.572709 117.748766 114.75863 
C 113.550003 115.94455 109.503004 117.613705 105.689031 119.732579 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="patch_10">
    <path d="M 131.118165 112.667215 
L 116.646154 118.200631 
L 119.370297 113.177992 
L 115.943836 113.326969 
L 115.943836 113.326969 
L 119.370297 113.177992 
L 116.220507 108.410741 
z
" clip-path="url(#peab095b26b)"/>
   </g>
   <g id="text_1">
    <!-- $g(x) = \left(\dfrac{1}{4}\right)^x$ -->
    <g transform="translate(233.519621 104.603896) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-67" d="M 2163 811 
C 2138 709 2125 683 2042 588 
C 1779 249 1510 128 1312 128 
C 1101 128 902 294 902 734 
C 902 1073 1094 1788 1235 2076 
C 1421 2433 1709 2689 1978 2689 
C 2400 2689 2483 2165 2483 2127 
L 2464 2037 
L 2163 811 
z
M 2560 2395 
C 2477 2580 2298 2816 1978 2816 
C 1280 2816 486 1941 486 990 
C 486 326 890 0 1299 0 
C 1638 0 1939 268 2054 396 
L 1914 -171 
C 1824 -516 1786 -674 1555 -894 
C 1293 -1152 1050 -1152 909 -1152 
C 717 -1152 557 -1139 397 -1089 
C 602 -1033 653 -858 653 -789 
C 653 -689 576 -588 435 -588 
C 282 -588 115 -714 115 -922 
C 115 -1180 378 -1280 922 -1280 
C 1747 -1280 2176 -753 2259 -410 
L 2970 2435 
C 2989 2511 2989 2524 2989 2536 
C 2989 2625 2918 2695 2822 2695 
C 2669 2695 2579 2567 2560 2395 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
      <path id="CMEX10-12" d="M 4480 -15034 
C 4480 -15008 4467 -14995 4454 -14976 
C 4218 -14739 3789 -14310 3360 -13619 
C 2330 -11968 1862 -9888 1862 -7424 
C 1862 -5702 2093 -3482 3149 -1574 
C 3654 -666 4179 -141 4461 141 
C 4480 160 4480 173 4480 192 
C 4480 256 4435 256 4346 256 
C 4256 256 4243 256 4147 160 
C 2003 -1792 1331 -4723 1331 -7418 
C 1331 -9933 1907 -12467 3533 -14381 
C 3661 -14528 3904 -14790 4166 -15021 
C 4243 -15098 4256 -15098 4346 -15098 
C 4435 -15098 4480 -15098 4480 -15034 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-31" d="M 1702 4058 
C 1702 4192 1696 4192 1606 4192 
C 1357 3916 979 3827 621 3827 
C 602 3827 570 3827 563 3808 
C 557 3795 557 3782 557 3648 
C 755 3648 1088 3686 1344 3839 
L 1344 461 
C 1344 236 1331 160 781 160 
L 589 160 
L 589 0 
C 896 0 1216 0 1523 0 
C 1830 0 2150 0 2458 0 
L 2458 160 
L 2266 160 
C 1715 160 1702 230 1702 458 
L 1702 4058 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-34" d="M 2150 4122 
C 2150 4256 2144 4256 2029 4256 
L 128 1254 
L 128 1088 
L 1779 1088 
L 1779 457 
C 1779 224 1766 160 1318 160 
L 1197 160 
L 1197 0 
C 1402 0 1747 0 1965 0 
C 2182 0 2528 0 2733 0 
L 2733 160 
L 2611 160 
C 2163 160 2150 224 2150 457 
L 2150 1088 
L 2803 1088 
L 2803 1254 
L 2150 1254 
L 2150 4122 
z
M 1798 3703 
L 1798 1254 
L 256 1254 
L 1798 3703 
z
" transform="scale(0.015625)"/>
      <path id="CMEX10-13" d="M 3373 -7424 
C 3373 -4909 2797 -2374 1171 -461 
C 1043 -314 800 -51 538 179 
C 461 256 448 256 358 256 
C 282 256 224 256 224 192 
C 224 166 250 141 262 128 
C 486 -102 915 -531 1344 -1222 
C 2374 -2874 2842 -4954 2842 -7418 
C 2842 -9139 2611 -11360 1555 -13267 
C 1050 -14176 518 -14707 250 -14976 
C 237 -14995 224 -15014 224 -15034 
C 224 -15098 282 -15098 358 -15098 
C 448 -15098 461 -15098 557 -15002 
C 2701 -13050 3373 -10118 3373 -7424 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-67" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(50.285489 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(85.566257 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(141.000317 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(203.955093 0) scale(0.996264)"/>
     <use xlink:href="#CMEX10-12" transform="translate(303.34389 140.474533) scale(0.996264)"/>
     <use xlink:href="#CMR17-31" transform="translate(377.875843 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-34" transform="translate(377.875843 -68.338837) scale(0.996264)"/>
     <use xlink:href="#CMEX10-13" transform="translate(424.761834 140.474533) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(498.098272 117.532991) scale(0.697382)"/>
     <path d="M 377.875843 22.914133 
L 423.56632 22.914133 
L 423.56632 26.899083 
L 377.875843 26.899083 
L 377.875843 22.914133 
z
"/>
    </g>
   </g>
   <g id="text_2">
    <!-- $f(x) = \left(\dfrac{1}{2}\right)^x$ -->
    <g transform="translate(7.2 178.097432) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-66" d="M 2854 2566 
C 2982 2566 3034 2566 3034 2688 
C 3034 2752 2982 2752 2867 2752 
L 2349 2752 
C 2470 3429 2560 3897 2611 4107 
C 2650 4265 2784 4416 2950 4416 
C 3085 4416 3219 4358 3283 4298 
C 3034 4272 2957 4082 2957 3969 
C 2957 3837 3053 3759 3174 3759 
C 3302 3759 3494 3870 3494 4119 
C 3494 4393 3226 4544 2944 4544 
C 2669 4544 2400 4334 2272 4078 
C 2157 3848 2093 3611 1946 2752 
L 1517 2752 
C 1395 2752 1331 2752 1331 2637 
C 1331 2566 1370 2566 1498 2566 
L 1907 2566 
C 1792 1976 1530 542 1382 -137 
C 1274 -689 1178 -1152 858 -1152 
C 838 -1152 653 -1152 538 -1031 
C 864 -1005 864 -726 864 -720 
C 864 -593 768 -517 646 -517 
C 518 -517 326 -625 326 -867 
C 326 -1140 608 -1280 858 -1280 
C 1510 -1280 1779 -118 1850 199 
C 1965 688 2278 2376 2310 2566 
L 2854 2566 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-66" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(58.720305 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(94.001073 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(149.435132 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(212.389909 0) scale(0.996264)"/>
     <use xlink:href="#CMEX10-12" transform="translate(311.778706 140.474533) scale(0.996264)"/>
     <use xlink:href="#CMR17-31" transform="translate(386.310658 67.398045) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(386.310658 -68.338837) scale(0.996264)"/>
     <use xlink:href="#CMEX10-13" transform="translate(433.196649 140.474533) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(506.533088 117.532991) scale(0.697382)"/>
     <path d="M 386.310658 22.914133 
L 432.001135 22.914133 
L 432.001135 26.899083 
L 386.310658 26.899083 
L 386.310658 22.914133 
z
"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 150.039069 -1 
L 157.026349 46.332425 
L 165.025645 89.544676 
L 173.024942 124.004367 
L 181.024238 151.484313 
L 189.023535 173.398248 
L 197.022831 190.873557 
L 205.022128 204.809275 
L 213.021424 215.922339 
L 221.020721 224.784474 
L 229.020017 231.851599 
L 237.019314 237.487292 
L 245.01861 241.981486 
L 253.017907 245.56539 
L 261.017203 248.42338 
L 269.0165 250.70249 
L 277.015796 252.519971 
L 285.015093 253.969324 
L 293.014389 255.125113 
L 301.013686 256.0468 
L 309.012982 256.781801 
L 317.012279 257.367928 
L 325.011575 257.835337 
L 333.010872 258.208073 
L 341.010168 258.505312 
L 349.009465 258.742345 
L 357.008761 258.931368 
L 365.008058 259.082105 
L 373.007354 259.202311 
L 381.006651 259.298168 
L 389.005947 259.374611 
L 397.005244 259.43557 
L 405.00454 259.484181 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #4775d1; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="line2d_2">
    <path d="M 90.955814 -1 
L 93.031977 6.862033 
L 101.031273 33.912672 
L 109.03057 58.068937 
L 117.029866 79.640521 
L 125.029163 98.90398 
L 133.028459 116.10628 
L 141.027756 131.467962 
L 149.027052 145.185969 
L 157.026349 157.436171 
L 165.025645 168.375621 
L 173.024942 178.144568 
L 181.024238 186.868254 
L 189.023535 194.658519 
L 197.022831 201.615238 
L 205.022128 207.8276 
L 213.021424 213.375249 
L 221.020721 218.329308 
L 229.020017 222.753292 
L 237.019314 226.703916 
L 245.01861 230.231829 
L 253.017907 233.382262 
L 261.017203 236.195604 
L 269.0165 238.707922 
L 277.015796 240.951427 
L 285.015093 242.95488 
L 293.014389 244.743967 
L 301.013686 246.341624 
L 309.012982 247.768335 
L 317.012279 249.04239 
L 325.011575 250.180123 
L 333.010872 251.19612 
L 341.010168 252.103408 
L 349.009465 252.913617 
L 357.008761 253.637135 
L 365.008058 254.283238 
L 373.007354 254.860209 
L 381.006651 255.375445 
L 389.005947 255.835551 
L 397.005244 256.246427 
L 405.00454 256.61334 
" clip-path="url(#peab095b26b)" style="fill: none; stroke: #e066ff; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_11">
    <path d="M 209.021776 308.671262 
L 209.021776 14.697115 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_12">
    <path d="M 13.039012 259.675571 
L 405.00454 259.675571 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_3">
    <!-- $x$ -->
    <g transform="translate(390.305833 289.072985) scale(0.25 -0.25)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $y$ -->
    <g transform="translate(179.624361 24.496254) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\rm O$ -->
    <g transform="translate(179.624361 289.072985) scale(0.25 -0.25)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="peab095b26b">
   <rect x="13.039012" y="14.697115" width="391.965529" height="293.974146"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Exponential Decay </figcaption>

4. Transformations of Exponential Functions

• shifts the graph horizontally ( left, right).
• shifts the graph vertically ( up, down).
• A negative reflects the graph across the -axis.

'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="406.365529pt" height="315.871262pt" viewBox="0 0 406.365529 315.871262" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-03-11T16:52:59.394199</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.871262 
L 406.365529 315.871262 
L 406.365529 0 
L 0 0 
L 0 315.871262 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.671262 
L 399.165529 308.671262 
L 399.165529 14.697115 
L 7.2 14.697115 
L 7.2 308.671262 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 397.213679 259.675571 
L 386.605801 263.918722 
L 388.727376 259.675571 
L 397.043953 259.675571 
L 397.043953 259.675571 
L 388.727376 259.675571 
L 386.605801 255.432419 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 203.182764 16.648965 
L 207.425916 27.256843 
L 203.182764 25.135268 
L 203.182764 16.818691 
L 203.182764 16.818691 
L 203.182764 25.135268 
L 198.939613 27.256843 
z
"/>
   </g>
   <g id="text_1">
    <!-- $f(x) = 3^{x-2} + 1$ -->
    <g transform="translate(31.697846 178.518871) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-66" d="M 2854 2566 
C 2982 2566 3034 2566 3034 2688 
C 3034 2752 2982 2752 2867 2752 
L 2349 2752 
C 2470 3429 2560 3897 2611 4107 
C 2650 4265 2784 4416 2950 4416 
C 3085 4416 3219 4358 3283 4298 
C 3034 4272 2957 4082 2957 3969 
C 2957 3837 3053 3759 3174 3759 
C 3302 3759 3494 3870 3494 4119 
C 3494 4393 3226 4544 2944 4544 
C 2669 4544 2400 4334 2272 4078 
C 2157 3848 2093 3611 1946 2752 
L 1517 2752 
C 1395 2752 1331 2752 1331 2637 
C 1331 2566 1370 2566 1498 2566 
L 1907 2566 
C 1792 1976 1530 542 1382 -137 
C 1274 -689 1178 -1152 858 -1152 
C 838 -1152 653 -1152 538 -1031 
C 864 -1005 864 -726 864 -720 
C 864 -593 768 -517 646 -517 
C 518 -517 326 -625 326 -867 
C 326 -1140 608 -1280 858 -1280 
C 1510 -1280 1779 -118 1850 199 
C 1965 688 2278 2376 2310 2566 
L 2854 2566 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-33" d="M 1414 2157 
C 1984 2157 2234 1662 2234 1090 
C 2234 320 1824 25 1453 25 
C 1114 25 563 194 390 693 
C 422 680 454 680 486 680 
C 640 680 755 782 755 948 
C 755 1133 614 1216 486 1216 
C 378 1216 211 1165 211 926 
C 211 335 787 -128 1466 -128 
C 2176 -128 2720 430 2720 1085 
C 2720 1707 2208 2157 1600 2227 
C 2086 2328 2554 2756 2554 3329 
C 2554 3820 2048 4179 1472 4179 
C 890 4179 378 3829 378 3329 
C 378 3110 544 3072 627 3072 
C 762 3072 877 3155 877 3321 
C 877 3486 762 3569 627 3569 
C 602 3569 570 3569 544 3557 
C 730 3959 1235 4032 1459 4032 
C 1683 4032 2106 3925 2106 3320 
C 2106 3143 2080 2828 1862 2550 
C 1670 2304 1453 2304 1242 2284 
C 1210 2284 1062 2269 1037 2269 
C 992 2263 966 2257 966 2208 
C 966 2163 973 2157 1101 2157 
L 1414 2157 
z
" transform="scale(0.015625)"/>
      <path id="CMSY10-0" d="M 4218 1472 
C 4326 1472 4442 1472 4442 1600 
C 4442 1728 4326 1728 4218 1728 
L 755 1728 
C 646 1728 531 1728 531 1600 
C 531 1472 646 1472 755 1472 
L 4218 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-2b" d="M 2413 1472 
L 4109 1472 
C 4198 1472 4307 1472 4307 1580 
C 4307 1695 4205 1695 4109 1695 
L 2413 1695 
L 2413 3386 
C 2413 3475 2413 3584 2304 3584 
C 2189 3584 2189 3482 2189 3386 
L 2189 1695 
L 493 1695 
C 403 1695 294 1695 294 1587 
C 294 1472 397 1472 493 1472 
L 2189 1472 
L 2189 -218 
C 2189 -307 2189 -416 2298 -416 
C 2413 -416 2413 -314 2413 -218 
L 2413 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-31" d="M 1702 4058 
C 1702 4192 1696 4192 1606 4192 
C 1357 3916 979 3827 621 3827 
C 602 3827 570 3827 563 3808 
C 557 3795 557 3782 557 3648 
C 755 3648 1088 3686 1344 3839 
L 1344 461 
C 1344 236 1331 160 781 160 
L 589 160 
L 589 0 
C 896 0 1216 0 1523 0 
C 1830 0 2150 0 2458 0 
L 2458 160 
L 2266 160 
C 1715 160 1702 230 1702 458 
L 1702 4058 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-66" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(58.720305 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(94.001073 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(149.435132 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(212.389909 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-33" transform="translate(311.778706 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(357.469183 36.153639) scale(0.697382)"/>
     <use xlink:href="#CMSY10-0" transform="translate(396.272842 36.153639) scale(0.697382)"/>
     <use xlink:href="#CMR17-32" transform="translate(450.513835 36.153639) scale(0.697382)"/>
     <use xlink:href="#CMR17-2b" transform="translate(505.134356 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-31" transform="translate(598.988352 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 7.2 210.61267 
L 15.199297 210.599466 
L 23.198593 210.583669 
L 31.19789 210.564767 
L 39.197186 210.542152 
L 47.196483 210.515095 
L 55.195779 210.482722 
L 63.195076 210.443988 
L 71.194372 210.397646 
L 79.193669 210.342199 
L 87.192965 210.275859 
L 95.192262 210.196486 
L 103.191558 210.101519 
L 111.190855 209.987896 
L 119.190151 209.85195 
L 127.189448 209.689297 
L 135.188744 209.49469 
L 143.188041 209.26185 
L 151.187337 208.983267 
L 159.186634 208.649955 
L 167.18593 208.25116 
L 175.185227 207.77402 
L 183.184523 207.203141 
L 191.18382 206.520109 
L 199.183116 205.70289 
L 207.182413 204.725123 
L 215.181709 203.555265 
L 223.181006 202.155579 
L 231.180302 200.480915 
L 239.179599 198.47725 
L 247.178895 196.079949 
L 255.178192 193.21168 
L 263.177488 189.779918 
L 271.176785 185.67396 
L 279.176081 180.761354 
L 287.175378 174.88363 
L 295.174674 167.851181 
L 303.173971 159.437154 
L 311.173267 149.370126 
L 319.172564 137.325353 
L 327.17186 122.914291 
L 335.171157 105.672066 
L 343.170453 85.042473 
L 351.16975 60.360038 
L 359.169046 30.828548 
L 366.374908 -1 
" clip-path="url(#p36821f3aab)" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="line2d_2">
    <path d="M 7.2 210.67988 
L 399.165529 210.67988 
" clip-path="url(#p36821f3aab)" style="fill: none; stroke-dasharray: 3.7,1.6; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_3">
      <defs>
       <path id="mec142aa539" d="M 0 0 
L -3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#mec142aa539" x="203.182764" y="210.67988" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- $\mathdefault{1}$ -->
      <g transform="translate(184.760145 219.328006) scale(0.25 -0.25)">
       <use xlink:href="#CMR17-31" transform="scale(0.996264)"/>
      </g>
     </g>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 203.182764 308.671262 
L 203.182764 14.697115 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 7.2 259.675571 
L 399.165529 259.675571 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_3">
    <!-- $x$ -->
    <g transform="translate(384.466821 289.072985) scale(0.25 -0.25)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $y$ -->
    <g transform="translate(173.78535 24.496254) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $\rm O$ -->
    <g transform="translate(173.78535 289.072985) scale(0.25 -0.25)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p36821f3aab">
   <rect x="7.2" y="14.697115" width="391.965529" height="293.974146"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Transformed Growth </figcaption> 'data:image/svg+xml;base64,<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<svg xmlns:xlink="http://www.w3.org/1999/xlink" width="406.365529pt" height="315.871262pt" viewBox="0 0 406.365529 315.871262" xmlns="http://www.w3.org/2000/svg" version="1.1">
 <metadata>
  <rdf:RDF xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:cc="http://creativecommons.org/ns#" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
   <cc:Work>
    <dc:type rdf:resource="http://purl.org/dc/dcmitype/StillImage"/>
    <dc:date>2025-03-11T16:39:03.784795</dc:date>
    <dc:format>image/svg+xml</dc:format>
    <dc:creator>
     <cc:Agent>
      <dc:title>Matplotlib v3.7.5, https://matplotlib.org/</dc:title>
     </cc:Agent>
    </dc:creator>
   </cc:Work>
  </rdf:RDF>
 </metadata>
 <defs>
  <style type="text/css">*{stroke-linejoin: round; stroke-linecap: butt}</style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 315.871262 
L 406.365529 315.871262 
L 406.365529 0 
L 0 0 
L 0 315.871262 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.671262 
L 399.165529 308.671262 
L 399.165529 14.697115 
L 7.2 14.697115 
L 7.2 308.671262 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 397.213679 63.692806 
L 386.605801 67.935958 
L 388.727376 63.692806 
L 397.043953 63.692806 
L 397.043953 63.692806 
L 388.727376 63.692806 
L 386.605801 59.449655 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 203.182764 16.648965 
L 207.425916 27.256843 
L 203.182764 25.135268 
L 203.182764 16.818691 
L 203.182764 16.818691 
L 203.182764 25.135268 
L 198.939613 27.256843 
z
"/>
   </g>
   <g id="text_1">
    <!-- $f(x) = - 2^x$ -->
    <g transform="translate(252.178455 143.412203) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-66" d="M 2854 2566 
C 2982 2566 3034 2566 3034 2688 
C 3034 2752 2982 2752 2867 2752 
L 2349 2752 
C 2470 3429 2560 3897 2611 4107 
C 2650 4265 2784 4416 2950 4416 
C 3085 4416 3219 4358 3283 4298 
C 3034 4272 2957 4082 2957 3969 
C 2957 3837 3053 3759 3174 3759 
C 3302 3759 3494 3870 3494 4119 
C 3494 4393 3226 4544 2944 4544 
C 2669 4544 2400 4334 2272 4078 
C 2157 3848 2093 3611 1946 2752 
L 1517 2752 
C 1395 2752 1331 2752 1331 2637 
C 1331 2566 1370 2566 1498 2566 
L 1907 2566 
C 1792 1976 1530 542 1382 -137 
C 1274 -689 1178 -1152 858 -1152 
C 838 -1152 653 -1152 538 -1031 
C 864 -1005 864 -726 864 -720 
C 864 -593 768 -517 646 -517 
C 518 -517 326 -625 326 -867 
C 326 -1140 608 -1280 858 -1280 
C 1510 -1280 1779 -118 1850 199 
C 1965 688 2278 2376 2310 2566 
L 2854 2566 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-28" d="M 1958 -1561 
C 1958 -1555 1958 -1542 1939 -1523 
C 1645 -1224 858 -407 858 1581 
C 858 3569 1632 4379 1946 4697 
C 1946 4704 1958 4717 1958 4736 
C 1958 4755 1939 4768 1914 4768 
C 1843 4768 1299 4296 986 3594 
C 666 2887 576 2199 576 1588 
C 576 1128 621 351 1005 -471 
C 1312 -1135 1837 -1600 1914 -1600 
C 1946 -1600 1958 -1587 1958 -1561 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-78" d="M 3034 2606 
C 2829 2567 2752 2414 2752 2293 
C 2752 2139 2874 2088 2963 2088 
C 3155 2088 3290 2254 3290 2427 
C 3290 2695 2982 2816 2714 2816 
C 2323 2816 2106 2433 2048 2312 
C 1901 2816 1504 2816 1389 2816 
C 736 2816 390 1980 390 1839 
C 390 1814 416 1782 461 1782 
C 512 1782 525 1820 538 1846 
C 755 2555 1184 2689 1370 2689 
C 1658 2689 1715 2420 1715 2267 
C 1715 2127 1677 1980 1600 1673 
L 1382 798 
C 1286 415 1101 64 762 64 
C 730 64 570 64 435 147 
C 666 192 717 383 717 460 
C 717 588 621 664 499 664 
C 346 664 179 530 179 326 
C 179 57 480 -64 755 -64 
C 1062 -64 1280 179 1414 441 
C 1517 64 1837 -64 2074 -64 
C 2726 -64 3072 773 3072 913 
C 3072 945 3046 971 3008 971 
C 2950 971 2944 939 2925 888 
C 2752 326 2381 64 2093 64 
C 1869 64 1747 230 1747 492 
C 1747 632 1773 734 1875 1156 
L 2099 2024 
C 2195 2408 2413 2689 2707 2689 
C 2720 2689 2899 2689 3034 2606 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-29" d="M 1683 1581 
C 1683 2040 1638 2817 1254 3639 
C 947 4303 422 4768 346 4768 
C 326 4768 301 4761 301 4729 
C 301 4717 307 4710 314 4697 
C 621 4378 1402 3568 1402 1584 
C 1402 -407 627 -1217 314 -1537 
C 307 -1549 301 -1556 301 -1568 
C 301 -1600 326 -1600 346 -1600 
C 416 -1600 960 -1128 1274 -426 
C 1594 281 1683 969 1683 1581 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-3d" d="M 4115 2017 
C 4211 2017 4307 2017 4307 2125 
C 4307 2240 4198 2240 4090 2240 
L 512 2240 
C 403 2240 294 2240 294 2125 
C 294 2017 390 2017 486 2017 
L 4115 2017 
z
M 4090 896 
C 4198 896 4307 896 4307 1011 
C 4307 1119 4211 1119 4115 1119 
L 486 1119 
C 390 1119 294 1119 294 1011 
C 294 896 403 896 512 896 
L 4090 896 
z
" transform="scale(0.015625)"/>
      <path id="CMSY10-0" d="M 4218 1472 
C 4326 1472 4442 1472 4442 1600 
C 4442 1728 4326 1728 4218 1728 
L 755 1728 
C 646 1728 531 1728 531 1600 
C 531 1472 646 1472 755 1472 
L 4218 1472 
z
" transform="scale(0.015625)"/>
      <path id="CMR17-32" d="M 2669 989 
L 2554 989 
C 2490 536 2438 459 2413 420 
C 2381 369 1920 369 1830 369 
L 602 369 
C 832 619 1280 1072 1824 1597 
C 2214 1967 2669 2402 2669 3035 
C 2669 3790 2067 4224 1395 4224 
C 691 4224 262 3604 262 3030 
C 262 2780 448 2748 525 2748 
C 589 2748 781 2787 781 3010 
C 781 3207 614 3264 525 3264 
C 486 3264 448 3258 422 3245 
C 544 3790 915 4058 1306 4058 
C 1862 4058 2227 3617 2227 3035 
C 2227 2479 1901 2000 1536 1584 
L 262 146 
L 262 0 
L 2515 0 
L 2669 989 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-66" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-28" transform="translate(58.720305 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(94.001073 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(149.435132 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-3d" transform="translate(212.389909 0) scale(0.996264)"/>
     <use xlink:href="#CMSY10-0" transform="translate(311.778706 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-32" transform="translate(389.266173 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-78" transform="translate(434.956651 36.153639) scale(0.697382)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 7.2 66.755037 
L 15.199297 67.12195 
L 23.198593 67.532826 
L 31.19789 67.992932 
L 39.197186 68.508168 
L 47.196483 69.085139 
L 55.195779 69.731242 
L 63.195076 70.45476 
L 71.194372 71.264969 
L 79.193669 72.172257 
L 87.192965 73.188254 
L 95.192262 74.325987 
L 103.191558 75.600042 
L 111.190855 77.026753 
L 119.190151 78.624411 
L 127.189448 80.413497 
L 135.188744 82.416951 
L 143.188041 84.660455 
L 151.187337 87.172774 
L 159.186634 89.986115 
L 167.18593 93.136548 
L 175.185227 96.664461 
L 183.184523 100.615086 
L 191.18382 105.039069 
L 199.183116 109.993128 
L 207.182413 115.540777 
L 215.181709 121.753139 
L 223.181006 128.709858 
L 231.180302 136.500124 
L 239.179599 145.223809 
L 247.178895 154.992756 
L 255.178192 165.932206 
L 263.177488 178.182408 
L 271.176785 191.900415 
L 279.176081 207.262097 
L 287.175378 224.464397 
L 295.174674 243.727856 
L 303.173971 265.29944 
L 311.173267 289.455705 
L 319.172564 316.506344 
L 319.268929 316.871262 
" clip-path="url(#p2140b49e8d)" style="fill: none; stroke: #000000; stroke-width: 2; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1"/>
   <g id="matplotlib.axis_2"/>
   <g id="patch_5">
    <path d="M 203.182764 308.671262 
L 203.182764 14.697115 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_6">
    <path d="M 7.2 63.692806 
L 399.165529 63.692806 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_2">
    <!-- $x$ -->
    <g transform="translate(384.466821 93.090221) scale(0.25 -0.25)">
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_3">
    <!-- $y$ -->
    <g transform="translate(173.78535 24.496254) scale(0.25 -0.25)">
     <defs>
      <path id="CMMI12-79" d="M 1683 -700 
C 1510 -939 1261 -1152 947 -1152 
C 870 -1152 563 -1152 467 -889 
C 486 -895 518 -895 531 -895 
C 723 -895 851 -729 851 -582 
C 851 -435 730 -384 634 -384 
C 531 -384 307 -458 307 -759 
C 307 -1071 582 -1286 947 -1286 
C 1587 -1286 2234 -700 2413 6 
L 3040 2485 
C 3046 2517 3059 2556 3059 2594 
C 3059 2689 2982 2753 2886 2753 
C 2829 2753 2694 2727 2643 2535 
L 2170 658 
C 2138 543 2138 530 2086 460 
C 1958 281 1747 64 1440 64 
C 1082 64 1050 415 1050 588 
C 1050 952 1222 1443 1395 1903 
C 1466 2088 1504 2178 1504 2305 
C 1504 2574 1312 2816 998 2816 
C 410 2816 173 1890 173 1839 
C 173 1814 198 1782 243 1782 
C 301 1782 307 1807 333 1897 
C 486 2433 730 2689 979 2689 
C 1037 2689 1146 2689 1146 2478 
C 1146 2312 1075 2127 979 1884 
C 666 1047 666 837 666 683 
C 666 77 1101 -64 1421 -64 
C 1606 -64 1837 -6 2061 230 
L 2067 224 
C 1971 -147 1907 -392 1683 -700 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMMI12-79" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_4">
    <!-- $\rm O$ -->
    <g transform="translate(173.78535 93.090221) scale(0.25 -0.25)">
     <defs>
      <path id="CMR17-4f" d="M 4307 2135 
C 4307 3437 3366 4416 2304 4416 
C 1216 4416 294 3424 294 2135 
C 294 845 1229 -128 2298 -128 
C 3392 -128 4307 864 4307 2135 
z
M 2304 -13 
C 1574 -13 781 711 781 2217 
C 781 3716 1651 4301 2298 4301 
C 2976 4301 3821 3698 3821 2217 
C 3821 686 3008 -13 2304 -13 
z
" transform="scale(0.015625)"/>
     </defs>
     <use xlink:href="#CMR17-4f" transform="scale(0.996264)"/>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p2140b49e8d">
   <rect x="7.2" y="14.697115" width="391.965529" height="293.974146"/>
  </clipPath>
 </defs>
</svg>
' <figcaption> Reflected Growth </figcaption>

• Transformed Growth
  • Shifted right by and up by
  • asymptote at .
• Reflected Growth
  • The standard growth function flipped across the -axis.
    
    

5. Applications of Exponential Functions

• Population Growth: (continuous growth).
• Radioactive Decay: .
• Compound Interest: .
  
  

6. Comparing Exponential and Linear Growth

• Exponential functions grow faster than linear ones.
• Example: If and , then quickly surpasses as increases.