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Power functions
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<iframe 
    src="https://jsxgraph.org/share/iframe/power-functions" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Power functions" 
    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 ShareAlike 4.0 International License.
    https://creativecommons.org/licenses/by-sa/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    var board = JXG.JSXGraph.initBoard(BOARDID, {
        axis: true,
        boundingbox: [-15, 10, 15, -10],
        keepaspectratio: true
    });
    
    var n = board.create('slider', [[-5, -2], [5, -2], [-5, 1, 5]], { name: 'n' });
    var m = board.create('slider', [[1, -4], [10, -4], [1, 1, 10]], { name: 'm' });
    
    board.create('functiongraph', [
            (t) => JXG.Math.pow(t, n.Value() / m.Value())
        ], {
        strokeColor: '#ff0000'
    });
    
    board.create('text', [-5, 3, function() { return 'y=x<sup>' + (n.Value() / m.Value()).toFixed(3) + '</sup>'; }]);
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution ShareAlike 4.0 International License.
https://creativecommons.org/licenses/by-sa/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!

var board = JXG.JSXGraph.initBoard(BOARDID, {
    axis: true,
    boundingbox: [-15, 10, 15, -10],
    keepaspectratio: true
});

var n = board.create('slider', [[-5, -2], [5, -2], [-5, 1, 5]], { name: 'n' });
var m = board.create('slider', [[1, -4], [10, -4], [1, 1, 10]], { name: 'm' });

board.create('functiongraph', [
        (t) => JXG.Math.pow(t, n.Value() / m.Value())
    ], {
    strokeColor: '#ff0000'
});

board.create('text', [-5, 3, function() { return 'y=x<sup>' + (n.Value() / m.Value()).toFixed(3) + '</sup>'; }]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Power functions" 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 ShareAlike 4.0 International License.
   https://creativecommons.org/licenses/by-sa/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   var board = JXG.JSXGraph.initBoard(BOARDID, {
       axis: true,
       boundingbox: [-15, 10, 15, -10],
       keepaspectratio: true
   });
   
   var n = board.create('slider', [[-5, -2], [5, -2], [-5, 1, 5]], { name: 'n' });
   var m = board.create('slider', [[1, -4], [10, -4], [1, 1, 10]], { name: 'm' });
   
   board.create('functiongraph', [
           (t) => JXG.Math.pow(t, n.Value() / m.Value())
       ], {
       strokeColor: '#ff0000'
   });
   
   board.create('text', [-5, 3, function() { return 'y=x<sup>' + (n.Value() / m.Value()).toFixed(3) + '</sup>'; }]);
</jsxgraph>
The interactive plot of the function $y = x^{n/m}$. Two sliders adjust numerator and denominator of the exponent in real time, updating both the curve and its displayed formula dynamically.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, {
    axis: true,
    boundingbox: [-15, 10, 15, -10],
    keepaspectratio: true
});

var n = board.create('slider', [[-5, -2], [5, -2], [-5, 1, 5]], { name: 'n' });
var m = board.create('slider', [[1, -4], [10, -4], [1, 1, 10]], { name: 'm' });

board.create('functiongraph', [
        (t) => JXG.Math.pow(t, n.Value() / m.Value())
    ], {
    strokeColor: '#ff0000'
});

board.create('text', [-5, 3, function() { return 'y=x<sup>' + (n.Value() / m.Value()).toFixed(3) + '</sup>'; }]);

license

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