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Trace curve
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<iframe 
    src="https://jsxgraph.org/share/iframe/trace-curve" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Trace curve" 
    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: [-1, 5, 9, -5], axis:true,
        showClearTraces: true
    });
    
    var s = board.create('slider', [[1,-4], [7,-4], [0.01, 1, 8]]);
    var p = board.create('point', [
        () => s.Value(),
        () => Math.log(s.Value())
    ], {trace:true});
    var c = board.create('tracecurve', [s, p]);
 </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: [-1, 5, 9, -5], axis:true,
    showClearTraces: true
});

var s = board.create('slider', [[1,-4], [7,-4], [0.01, 1, 8]]);
var p = board.create('point', [
    () => s.Value(),
    () => Math.log(s.Value())
], {trace:true});
var c = board.create('tracecurve', [s, p]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Trace curve" 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: [-1, 5, 9, -5], axis:true,
       showClearTraces: true
   });
   
   var s = board.create('slider', [[1,-4], [7,-4], [0.01, 1, 8]]);
   var p = board.create('point', [
       () => s.Value(),
       () => Math.log(s.Value())
   ], {trace:true});
   var c = board.create('tracecurve', [s, p]);
</jsxgraph>
Trace the orbit of point $A$ which depends "somehow" on a slider. The simple method is to add the attribute `trace:true`. This invites exploration. If the trace curve should be used for further construction, the element `tracecurve` is useful.
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, { 
    boundingbox: [-1, 5, 9, -5], axis:true,
    showClearTraces: true
});

var s = board.create('slider', [[1,-4], [7,-4], [0.01, 1, 8]]);
var p = board.create('point', [
    () => s.Value(),
    () => Math.log(s.Value())
], {trace:true});
var c = board.create('tracecurve', [s, p]);

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.