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Inverse mapping of the power function
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<iframe 
    src="https://jsxgraph.uni-bayreuth.de/share/iframe/inverse-mapping-of-the-power-function" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Inverse mapping of the power function" 
    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: [-5.5, 7.5, 9.5, -2.5],
        axis: true
    });
    
    var n = board.create('slider', [[-5, -1], [5, -1], [-5, 2, 5]], {name: 'n'});
    
    // Identity function
    board.create('functiongraph', [(t) => t], {strokeColor: '#000000', dash: 1});
    
    // x^n
    board.create('functiongraph', [(t) => JXG.Math.pow(t, n.Value()), 0.001, 8]);
    
    // x^(1/n)
    board.create('functiongraph', [(t) => JXG.Math.pow(t, 1 / n.Value()), 0.001, 8], {dash: 2});
 </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: [-5.5, 7.5, 9.5, -2.5],
    axis: true
});

var n = board.create('slider', [[-5, -1], [5, -1], [-5, 2, 5]], {name: 'n'});

// Identity function
board.create('functiongraph', [(t) => t], {strokeColor: '#000000', dash: 1});

// x^n
board.create('functiongraph', [(t) => JXG.Math.pow(t, n.Value()), 0.001, 8]);

// x^(1/n)
board.create('functiongraph', [(t) => JXG.Math.pow(t, 1 / n.Value()), 0.001, 8], {dash: 2});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Inverse mapping of the power function" 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: [-5.5, 7.5, 9.5, -2.5],
       axis: true
   });
   
   var n = board.create('slider', [[-5, -1], [5, -1], [-5, 2, 5]], {name: 'n'});
   
   // Identity function
   board.create('functiongraph', [(t) => t], {strokeColor: '#000000', dash: 1});
   
   // x^n
   board.create('functiongraph', [(t) => JXG.Math.pow(t, n.Value()), 0.001, 8]);
   
   // x^(1/n)
   board.create('functiongraph', [(t) => JXG.Math.pow(t, 1 / n.Value()), 0.001, 8], {dash: 2});
</jsxgraph>

Inverse mapping of the power function

Calculus 
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    boundingbox: [-5.5, 7.5, 9.5, -2.5],
    axis: true
});

var n = board.create('slider', [[-5, -1], [5, -1], [-5, 2, 5]], {name: 'n'});

// Identity function
board.create('functiongraph', [(t) => t], {strokeColor: '#000000', dash: 1});

// x^n
board.create('functiongraph', [(t) => JXG.Math.pow(t, n.Value()), 0.001, 8]);

// x^(1/n)
board.create('functiongraph', [(t) => JXG.Math.pow(t, 1 / n.Value()), 0.001, 8], {dash: 2});

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.