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Intersection of function graphs
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<iframe 
    src="http://jsxgraph.uni-bayreuth.de/share/iframe/intersection-of-function-graphs" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Intersection of function graphs" 
    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';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        axis:true,
        boundingbox:[-5, 10, 10, -5]
    });
    
    var curve1 = board.create('functiongraph', ['x^2-2'], {strokeColor: 'blue', fixed: false});
    var curve2 = board.create('functiongraph', ['4/x', 0.001, 20], {strokeColor: 'black', fixed: false});
    
    var clip_path = board.create('curveintersection', [curve1, curve2], {
        fillColor: 'yellow',
        fillOpacity: 0.3
    });
 </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!

const board = JXG.JSXGraph.initBoard(BOARDID, {
    axis:true,
    boundingbox:[-5, 10, 10, -5]
});

var curve1 = board.create('functiongraph', ['x^2-2'], {strokeColor: 'blue', fixed: false});
var curve2 = board.create('functiongraph', ['4/x', 0.001, 20], {strokeColor: 'black', fixed: false});

var clip_path = board.create('curveintersection', [curve1, curve2], {
    fillColor: 'yellow',
    fillOpacity: 0.3
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Intersection of function graphs" 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.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       axis:true,
       boundingbox:[-5, 10, 10, -5]
   });
   
   var curve1 = board.create('functiongraph', ['x^2-2'], {strokeColor: 'blue', fixed: false});
   var curve2 = board.create('functiongraph', ['4/x', 0.001, 20], {strokeColor: 'black', fixed: false});
   
   var clip_path = board.create('curveintersection', [curve1, curve2], {
       fillColor: 'yellow',
       fillOpacity: 0.3
   });
</jsxgraph>

Intersection of function graphs

Curves
Intersection, Union, Difference 
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    axis:true,
    boundingbox:[-5, 10, 10, -5]
});

var curve1 = board.create('functiongraph', ['x^2-2'], {strokeColor: 'blue', fixed: false});
var curve2 = board.create('functiongraph', ['4/x', 0.001, 20], {strokeColor: 'black', fixed: false});

var clip_path = board.create('curveintersection', [curve1, curve2], {
    fillColor: 'yellow',
    fillOpacity: 0.3
});

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.