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Hyperbola as function graph
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<iframe 
    src="https://jsxgraph.org/share/iframe/hyperbola-as-function-graph" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Hyperbola as function graph" 
    allowfullscreen
></iframe>
This code has to 
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    JXG.Options.line.strokeWidth = 0.8;
    
    const board = JXG.JSXGraph.initBoard(BOARDID, {
        boundingbox: [-5, 5, 5, -5],
        axis: false
    });
    
    var h = board.create('functiongraph', ['1/x']);
    var l1 = board.create('line', [0, 0, 1], {
        dash: 1
    });
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

JXG.Options.line.strokeWidth = 0.8;

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 5, -5],
    axis: false
});

var h = board.create('functiongraph', ['1/x']);
var l1 = board.create('line', [0, 0, 1], {
    dash: 1
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Hyperbola as function graph" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   JXG.Options.line.strokeWidth = 0.8;
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       boundingbox: [-5, 5, 5, -5],
       axis: false
   });
   
   var h = board.create('functiongraph', ['1/x']);
   var l1 = board.create('line', [0, 0, 1], {
       dash: 1
   });
</jsxgraph>
Static plot of $$ f: x \mapsto \frac{1}{x} $$
// Define the id of your board in BOARDID

JXG.Options.line.strokeWidth = 0.8;

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5, 5, 5, -5],
    axis: false
});

var h = board.create('functiongraph', ['1/x']);
var l1 = board.create('line', [0, 0, 1], {
    dash: 1
});

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.