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Step function
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<iframe 
    src="https://www.jsxgraph.uni-bayreuth.de/share/iframe/step-function" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Step 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 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, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });
    
    var f = function(x) {
        if (x < 0)
            return -1;
        if (x >= 0 && x < 2)
            return 1;
        if (x >= 2)
            return 2;
    }
    board.create('functiongraph', [f]);
 </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, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });

var f = function(x) {
    if (x < 0)
        return -1;
    if (x >= 0 && x < 2)
        return 1;
    if (x >= 2)
        return 2;
}
board.create('functiongraph', [f]);
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Step 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 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, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });
   
   var f = function(x) {
       if (x < 0)
           return -1;
       if (x >= 0 && x < 2)
           return 1;
       if (x >= 2)
           return 2;
   }
   board.create('functiongraph', [f]);
</jsxgraph>

Step function

This is a simple example for a *step function* realized as function graph. The steps are not drawn.
// Define the id of your board in BOARDID

var board = JXG.JSXGraph.initBoard(BOARDID, { boundingbox: [-5, 8, 8, -5], axis: true, keepaspectratio: true });

var f = function(x) {
    if (x < 0)
        return -1;
    if (x >= 0 && x < 2)
        return 1;
    if (x >= 2)
        return 2;
}
board.create('functiongraph', [f]);

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.