JSXGraph
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Highlight curve via slider
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<iframe 
    src="http://jsxgraph.org/share/iframe/highlight-curve-via-slider" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Highlight curve via slider" 
    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, {boundingbox: [-10, 10, 10, -10]});
    
    // Slider
    var s = board.create('slider', [[1,8],[5,8],[0,0,1]]);
    
    // If s < 0.5: red and thick, else blue and thin
    var g = board.create('functiongraph', [(x) => x*x], {
              strokeColor: () => (s.Value() < 0.5) ? 'red' : 'blue',
              strokeWidth: () => (s.Value() < 0.5) ? 4 : 1
    });
    
    // If s >= 0.5: red and thick, else blue and thin
    var f = board.create('functiongraph', [(x) => x + 1], {
              strokeColor: () => (s.Value() >= 0.5) ? 'red' : 'blue',
              strokeWidth: () => (s.Value() >= 0.5) ? 4 : 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!

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

// Slider
var s = board.create('slider', [[1,8],[5,8],[0,0,1]]);

// If s < 0.5: red and thick, else blue and thin
var g = board.create('functiongraph', [(x) => x*x], {
          strokeColor: () => (s.Value() < 0.5) ? 'red' : 'blue',
          strokeWidth: () => (s.Value() < 0.5) ? 4 : 1
});

// If s >= 0.5: red and thick, else blue and thin
var f = board.create('functiongraph', [(x) => x + 1], {
          strokeColor: () => (s.Value() >= 0.5) ? 'red' : 'blue',
          strokeWidth: () => (s.Value() >= 0.5) ? 4 : 1
});

<jsxgraph width="100%" aspect-ratio="1 / 1" title="Highlight curve via slider" 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, {boundingbox: [-10, 10, 10, -10]});
   
   // Slider
   var s = board.create('slider', [[1,8],[5,8],[0,0,1]]);
   
   // If s < 0.5: red and thick, else blue and thin
   var g = board.create('functiongraph', [(x) => x*x], {
             strokeColor: () => (s.Value() < 0.5) ? 'red' : 'blue',
             strokeWidth: () => (s.Value() < 0.5) ? 4 : 1
   });
   
   // If s >= 0.5: red and thick, else blue and thin
   var f = board.create('functiongraph', [(x) => x + 1], {
             strokeColor: () => (s.Value() >= 0.5) ? 'red' : 'blue',
             strokeWidth: () => (s.Value() >= 0.5) ? 4 : 1
   });
   
</jsxgraph>

Highlight curve via slider

Animation
Technical
Depending on the value of the slider `s`, one of the curves is highlighted.
// Define the id of your board in BOARDID

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

// Slider
var s = board.create('slider', [[1,8],[5,8],[0,0,1]]);

// If s < 0.5: red and thick, else blue and thin
var g = board.create('functiongraph', [(x) => x*x], {
          strokeColor: () => (s.Value() < 0.5) ? 'red' : 'blue',
          strokeWidth: () => (s.Value() < 0.5) ? 4 : 1
});

// If s >= 0.5: red and thick, else blue and thin
var f = board.create('functiongraph', [(x) => x + 1], {
          strokeColor: () => (s.Value() >= 0.5) ? 'red' : 'blue',
          strokeWidth: () => (s.Value() >= 0.5) ? 4 : 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.