Consider a rectangle with an area of , where the width is () and the height is (). The relationship between and is shown below:
1
2
3
4
5
6
12
6
4
3
2.4
2
x 1 2 3 4 5 6 cdots
y 12 6 4 3 2.4 2 cdots
In this relationship, if doubles, triples, quadruples, etc., then becomes , , , etc. In such cases, is said to be inversely proportional to .
The relationship between and can be expressed as .
In general, if is inversely proportional to , the relationship can be expressed as:
Graph of an Inverse Proportionality
When can take any nonzero real value, the graph of an inverse proportionality has the following properties:
Properties of the Graph for
The graph of an inverse proportionality consists of a pair of hyperbolic curves.
When :
The graph passes through the 1st and 3rd quadrants.
When :
The graph passes through the 2nd and 4th quadrants.
When a > 0: '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="313.32222pt" height="316.072405pt" viewBox="0 0 313.32222 316.072405" 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>2025-01-09T13:36:47.424885</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 0 316.072405 
L 313.32222 316.072405 
L 313.32222 0 
L 0 0 
L 0 316.072405 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.872405 
L 302.415803 308.872405 
L 302.415803 13.656602 
L 7.2 13.656602 
L 7.2 308.872405 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718312 161.264503 
L 291.492819 164.954701 
L 293.337917 161.264503 
L 300.570704 161.264503 
L 300.570704 161.264503 
L 293.337917 161.264503 
L 291.492819 157.574306 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 154.807902 15.354093 
L 158.498099 24.579586 
L 154.807902 22.734488 
L 154.807902 15.5017 
L 154.807902 15.5017 
L 154.807902 22.734488 
L 151.117704 24.579586 
z
"/>
   </g>
   <g id="line2d_1">
    <path d="M 154.807902 102.221343 
L 184.329482 102.221343 
" clip-path="url(#p18ecc1148b)" style="fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="line2d_2">
    <path d="M 184.329482 161.264503 
L 184.329482 102.221343 
" clip-path="url(#p18ecc1148b)" style="fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="text_1">
    <!-- $(1,\; a)$ -->
    <g transform="translate(184.329482 94.304541) scale(0.2 -0.2)">
     <defs>
      <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="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="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
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)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-31" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(80.971245 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-61" transform="translate(152.346836 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(203.554694 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
C 184.329482 102.221343 184.329482 102.221343 184.329482 102.221343 
z
" clip-path="url(#p18ecc1148b)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_3">
    <path d="M 7.2 173.073135 
L 10.181978 173.316612 
L 13.163956 173.570341 
L 16.145933 173.834983 
L 19.127911 174.111257 
L 22.109889 174.399948 
L 25.091867 174.701912 
L 28.073845 175.018087 
L 31.055822 175.349498 
L 34.0378 175.697276 
L 37.019778 176.062663 
L 40.001756 176.44703 
L 42.983734 176.851898 
L 45.965712 177.27895 
L 48.947689 177.730061 
L 51.929667 178.207323 
L 54.911645 178.713079 
L 57.893623 179.249958 
L 60.875601 179.820925 
L 63.857578 180.429332 
L 66.839556 181.078988 
L 69.821534 181.774233 
L 72.803512 182.520041 
L 75.78549 183.322137 
L 78.767467 184.187142 
L 81.749445 185.12276 
L 84.731423 186.138005 
L 87.713401 187.243494 
L 90.695379 188.451819 
L 93.677357 189.77803 
L 96.659334 191.240262 
L 99.641312 192.860573 
L 102.62329 194.666063 
L 105.605268 196.6904 
L 108.587246 198.975941 
L 111.569223 201.57673 
L 114.551201 204.562821 
L 117.533179 208.026687 
L 120.515157 212.092963 
L 123.497135 216.933769 
L 126.479112 222.793692 
L 129.46109 230.03242 
L 132.443068 239.201475 
L 135.425046 251.191779 
L 138.407024 267.542192 
L 141.389001 291.159457 
L 143.471079 317.072405 
M 154.609187 317.072405 
L 155.014851 -1 
M 165.625943 -1 
L 168.226802 31.36955 
L 171.20878 54.986814 
L 174.190757 71.337228 
L 177.172735 83.327531 
L 180.154713 92.496587 
L 183.136691 99.735315 
L 186.118669 105.595238 
L 189.100646 110.436043 
L 192.082624 114.50232 
L 195.064602 117.966185 
L 198.04658 120.952276 
L 201.028558 123.553065 
L 204.010535 125.838607 
L 206.992513 127.862944 
L 209.974491 129.668434 
L 212.956469 131.288745 
L 215.938447 132.750977 
L 218.920425 134.077187 
L 221.902402 135.285513 
L 224.88438 136.391002 
L 227.866358 137.406247 
L 230.848336 138.341864 
L 233.830314 139.20687 
L 236.812291 140.008965 
L 239.794269 140.754774 
L 242.776247 141.450019 
L 245.758225 142.099674 
L 248.740203 142.708081 
L 251.72218 143.279048 
L 254.704158 143.815927 
L 257.686136 144.321683 
L 260.668114 144.798946 
L 263.650092 145.250057 
L 266.63207 145.677109 
L 269.614047 146.081976 
L 272.596025 146.466344 
L 275.578003 146.831731 
L 278.559981 147.179508 
L 281.541959 147.51092 
L 284.523936 147.827094 
L 287.505914 148.129059 
L 290.487892 148.41775 
L 293.46987 148.694024 
L 296.451848 148.958666 
L 299.433825 149.212394 
L 302.415803 149.455871 
" clip-path="url(#p18ecc1148b)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_4">
      <defs>
       <path id="mecc126f4df" d="M 0 0 
L 0 3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#mecc126f4df" x="184.329482" y="161.264503" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_2">
      <!-- $1$ -->
      <g transform="translate(179.760434 182.1015) scale(0.2 -0.2)">
       <use xlink:href="#CMR17-31" transform="scale(0.996264)"/>
      </g>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_5">
      <defs>
       <path id="m70cd559eef" d="M 0 0 
L -3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m70cd559eef" x="154.807902" y="102.221343" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- $a$ -->
      <g transform="translate(137.566339 109.139841) scale(0.2 -0.2)">
       <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
      </g>
     </g>
    </g>
   </g>
   <g id="patch_6">
    <path d="M 154.807902 308.872405 
L 154.807902 13.656602 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_7">
    <path d="M 7.2 161.264503 
L 302.415803 161.264503 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $x$ -->
    <g transform="translate(295.035408 178.977451) scale(0.2 -0.2)">
     <defs>
      <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)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $y$ -->
    <g transform="translate(137.094953 21.036997) scale(0.2 -0.2)">
     <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_6">
    <!-- $\rm O$ -->
    <g transform="translate(137.094953 178.977451) scale(0.2 -0.2)">
     <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="p18ecc1148b">
   <rect x="7.2" y="13.656602" width="295.215803" height="295.215803"/>
  </clipPath>
 </defs>
</svg>
' The graph passes through the 1st and 3rd quadrants. When a < 0: '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="310.370062pt" height="316.072405pt" viewBox="0 0 310.370062 316.072405" 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>2025-01-09T13:36:41.709783</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 0 316.072405 
L 310.370062 316.072405 
L 310.370062 0 
L 0 0 
L 0 316.072405 
z
" style="fill: none; opacity: 0"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 7.2 308.872405 
L 302.415803 308.872405 
L 302.415803 13.656602 
L 7.2 13.656602 
L 7.2 308.872405 
z
" style="fill: none"/>
   </g>
   <g id="patch_3">
    <path d="M 300.718312 161.264503 
L 291.492819 164.954701 
L 293.337917 161.264503 
L 300.570704 161.264503 
L 300.570704 161.264503 
L 293.337917 161.264503 
L 291.492819 157.574306 
z
"/>
   </g>
   <g id="patch_4">
    <path d="M 154.807902 15.354093 
L 158.498099 24.579586 
L 154.807902 22.734488 
L 154.807902 15.5017 
L 154.807902 15.5017 
L 154.807902 22.734488 
L 151.117704 24.579586 
z
"/>
   </g>
   <g id="text_1">
    <!-- $1$ -->
    <g transform="translate(179.760434 154.436553) scale(0.2 -0.2)">
     <defs>
      <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="#CMR17-31" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="line2d_1">
    <path d="M 154.807902 220.307664 
L 184.329482 220.307664 
" clip-path="url(#pe8b376d5ea)" style="fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="line2d_2">
    <path d="M 184.329482 161.264503 
L 184.329482 220.307664 
" clip-path="url(#pe8b376d5ea)" style="fill: none; stroke-dasharray: 1,1.65; stroke-dashoffset: 0; stroke: #000000"/>
   </g>
   <g id="text_2">
    <!-- $(1,\; a)$ -->
    <g transform="translate(191.709877 225.288353) scale(0.2 -0.2)">
     <defs>
      <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="CMMI12-3b" d="M 1248 -31 
C 1248 343 1126 619 864 619 
C 659 619 557 453 557 313 
C 557 172 653 0 870 0 
C 954 0 1024 26 1082 83 
C 1094 96 1101 96 1107 96 
C 1120 96 1120 5 1120 -27 
C 1120 -240 1082 -659 710 -1080 
C 640 -1157 640 -1170 640 -1183 
C 640 -1216 672 -1248 704 -1248 
C 755 -1248 1248 -771 1248 -31 
z
" transform="scale(0.015625)"/>
      <path id="CMMI12-61" d="M 1926 760 
C 1894 651 1894 639 1805 517 
C 1664 338 1382 64 1082 64 
C 819 64 672 300 672 677 
C 672 1028 870 1743 992 2012 
C 1210 2459 1510 2689 1760 2689 
C 2182 2689 2266 2165 2266 2114 
C 2266 2108 2246 2024 2240 2012 
L 1926 760 
z
M 2336 2395 
C 2266 2561 2093 2816 1760 2816 
C 1037 2816 256 1884 256 939 
C 256 307 627 -64 1062 -64 
C 1414 -64 1715 211 1894 422 
C 1958 45 2259 -64 2451 -64 
C 2643 -64 2797 51 2912 281 
C 3014 498 3104 888 3104 913 
C 3104 945 3078 971 3040 971 
C 2982 971 2976 939 2950 843 
C 2854 466 2733 64 2470 64 
C 2285 64 2272 230 2272 358 
C 2272 505 2291 575 2349 824 
C 2394 984 2426 1124 2477 1309 
C 2714 2267 2771 2497 2771 2535 
C 2771 2625 2701 2695 2605 2695 
C 2400 2695 2349 2472 2336 2395 
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)"/>
     </defs>
     <use xlink:href="#CMR17-28" transform="scale(0.996264)"/>
     <use xlink:href="#CMR17-31" transform="translate(35.280768 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-3b" transform="translate(80.971245 0) scale(0.996264)"/>
     <use xlink:href="#CMMI12-61" transform="translate(152.346836 0) scale(0.996264)"/>
     <use xlink:href="#CMR17-29" transform="translate(203.554694 0) scale(0.996264)"/>
    </g>
   </g>
   <g id="patch_5">
    <path d="M 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
C 184.329482 220.307664 184.329482 220.307664 184.329482 220.307664 
z
" clip-path="url(#pe8b376d5ea)" style="stroke: #000000; stroke-linejoin: miter"/>
   </g>
   <g id="line2d_3">
    <path d="M 7.2 149.455871 
L 10.181978 149.212394 
L 13.163956 148.958666 
L 16.145933 148.694024 
L 19.127911 148.41775 
L 22.109889 148.129059 
L 25.091867 147.827094 
L 28.073845 147.51092 
L 31.055822 147.179508 
L 34.0378 146.831731 
L 37.019778 146.466344 
L 40.001756 146.081976 
L 42.983734 145.677109 
L 45.965712 145.250057 
L 48.947689 144.798946 
L 51.929667 144.321683 
L 54.911645 143.815927 
L 57.893623 143.279048 
L 60.875601 142.708081 
L 63.857578 142.099674 
L 66.839556 141.450019 
L 69.821534 140.754774 
L 72.803512 140.008965 
L 75.78549 139.20687 
L 78.767467 138.341864 
L 81.749445 137.406247 
L 84.731423 136.391002 
L 87.713401 135.285513 
L 90.695379 134.077187 
L 93.677357 132.750977 
L 96.659334 131.288745 
L 99.641312 129.668434 
L 102.62329 127.862944 
L 105.605268 125.838607 
L 108.587246 123.553065 
L 111.569223 120.952276 
L 114.551201 117.966185 
L 117.533179 114.50232 
L 120.515157 110.436043 
L 123.497135 105.595238 
L 126.479112 99.735315 
L 129.46109 92.496587 
L 132.443068 83.327531 
L 135.425046 71.337228 
L 138.407024 54.986814 
L 141.389001 31.36955 
L 143.989861 -1 
M 154.600953 -1 
L 155.006616 317.072405 
M 166.144724 317.072405 
L 168.226802 291.159457 
L 171.20878 267.542192 
L 174.190757 251.191779 
L 177.172735 239.201475 
L 180.154713 230.03242 
L 183.136691 222.793692 
L 186.118669 216.933769 
L 189.100646 212.092963 
L 192.082624 208.026687 
L 195.064602 204.562821 
L 198.04658 201.57673 
L 201.028558 198.975941 
L 204.010535 196.6904 
L 206.992513 194.666063 
L 209.974491 192.860573 
L 212.956469 191.240262 
L 215.938447 189.77803 
L 218.920425 188.451819 
L 221.902402 187.243494 
L 224.88438 186.138005 
L 227.866358 185.12276 
L 230.848336 184.187142 
L 233.830314 183.322137 
L 236.812291 182.520041 
L 239.794269 181.774233 
L 242.776247 181.078988 
L 245.758225 180.429332 
L 248.740203 179.820925 
L 251.72218 179.249958 
L 254.704158 178.713079 
L 257.686136 178.207323 
L 260.668114 177.730061 
L 263.650092 177.27895 
L 266.63207 176.851898 
L 269.614047 176.44703 
L 272.596025 176.062663 
L 275.578003 175.697276 
L 278.559981 175.349498 
L 281.541959 175.018087 
L 284.523936 174.701912 
L 287.505914 174.399948 
L 290.487892 174.111257 
L 293.46987 173.834983 
L 296.451848 173.570341 
L 299.433825 173.316612 
L 302.415803 173.073135 
" clip-path="url(#pe8b376d5ea)" style="fill: none; stroke: #000000; stroke-width: 1.5; stroke-linecap: square"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_4">
      <defs>
       <path id="m7108fc973c" d="M 0 0 
L 0 3.5 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m7108fc973c" x="184.329482" y="161.264503" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_5">
      <defs>
       <path id="m214c715387" d="M 0 0 
L -3.5 0 
" style="stroke: #000000; stroke-width: 0.8"/>
      </defs>
      <g>
       <use xlink:href="#m214c715387" x="154.807902" y="220.307664" style="stroke: #000000; stroke-width: 0.8"/>
      </g>
     </g>
     <g id="text_3">
      <!-- $a$ -->
      <g transform="translate(137.566339 227.226162) scale(0.2 -0.2)">
       <use xlink:href="#CMMI12-61" transform="scale(0.996264)"/>
      </g>
     </g>
    </g>
   </g>
   <g id="patch_6">
    <path d="M 154.807902 308.872405 
L 154.807902 13.656602 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="patch_7">
    <path d="M 7.2 161.264503 
L 302.415803 161.264503 
" style="fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square"/>
   </g>
   <g id="text_4">
    <!-- $x$ -->
    <g transform="translate(292.08325 153.884108) scale(0.2 -0.2)">
     <defs>
      <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)"/>
     </defs>
     <use xlink:href="#CMMI12-78" transform="scale(0.996264)"/>
    </g>
   </g>
   <g id="text_5">
    <!-- $y$ -->
    <g transform="translate(162.188297 21.036997) scale(0.2 -0.2)">
     <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_6">
    <!-- $\rm O$ -->
    <g transform="translate(137.094953 178.977451) scale(0.2 -0.2)">
     <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="pe8b376d5ea">
   <rect x="7.2" y="13.656602" width="295.215803" height="295.215803"/>
  </clipPath>
 </defs>
</svg>
' The graph passes through the 2nd and 4th quadrants.
