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Draggable exponential function
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<iframe 
    src="https://jsxgraph.org/share/iframe/draggable-exponential-function" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Draggable exponential 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, 20, 5, -2], axis:true});
    
    var A = board.create('point', [1, Math.exp(1)]);
    var graph = board.create('functiongraph', [
             function(x) {
                 var a = Math.log(A.Y()) / A.X();
                 return Math.exp(a * x);
             }]);
               
    var txt = board.create('text', [-3, 10, 
            () => 'a = ' + (Math.log(A.Y()) / A.X()).toFixed(2)], 
            {fontSize: 16,
             fixed: true});
    
 </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, 20, 5, -2], axis:true});

var A = board.create('point', [1, Math.exp(1)]);
var graph = board.create('functiongraph', [
         function(x) {
             var a = Math.log(A.Y()) / A.X();
             return Math.exp(a * x);
         }]);
           
var txt = board.create('text', [-3, 10, 
        () => 'a = ' + (Math.log(A.Y()) / A.X()).toFixed(2)], 
        {fontSize: 16,
         fixed: true});

<jsxgraph width="100%" aspect-ratio="1 / 1" title="Draggable exponential 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, 20, 5, -2], axis:true});
   
   var A = board.create('point', [1, Math.exp(1)]);
   var graph = board.create('functiongraph', [
            function(x) {
                var a = Math.log(A.Y()) / A.X();
                return Math.exp(a * x);
            }]);
              
   var txt = board.create('text', [-3, 10, 
           () => 'a = ' + (Math.log(A.Y()) / A.X()).toFixed(2)], 
           {fontSize: 16,
            fixed: true});
   
</jsxgraph>
Plot the function $$ y = e^{ax} $$ where the parameter $a$ is determined by the Point $A=(x_A, y_A)$. It follows, $$a = \log(y_A) / x_A.$$ In other words, we want to plot an exponential function through the point $A$. 
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-5, 20, 5, -2], axis:true});

var A = board.create('point', [1, Math.exp(1)]);
var graph = board.create('functiongraph', [
         function(x) {
             var a = Math.log(A.Y()) / A.X();
             return Math.exp(a * x);
         }]);
           
var txt = board.create('text', [-3, 10, 
        () => 'a = ' + (Math.log(A.Y()) / A.X()).toFixed(2)], 
        {fontSize: 16,
         fixed: true});

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.