// Define the id of your board in BOARDID
const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-1, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note that you have to mention The Center of Mobile Learning with Digital Technology in the credits.
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note that 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, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
<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 that 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, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
</script>
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Continuous function: non-uniform continuous example" description="This construction was copied from JSXGraph examples database: http://jsxgraph.uni-bayreuth.de/share/" useGlobalJS="false">
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note that you have to mention
The Center of Mobile Learning with Digital Technology
in the credits.
*/
const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-1, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
</jsxgraph>
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note that 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, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
<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 that 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, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
</script>
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Continuous function: non-uniform continuous example" description="This construction was copied from JSXGraph examples database: http://jsxgraph.uni-bayreuth.de/share/" useGlobalJS="false">
/*
This example is licensed under a
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/
Please note that you have to mention
The Center of Mobile Learning with Digital Technology
in the credits.
*/
const board = JXG.JSXGraph.initBoard(BOARDID, {boundingbox: [-1, 10, 2, -2], axis: true});
var f = (x) => 1.0 / x;
var graph = board.create('functiongraph', [f,0.00001, 15], {strokeColor:'#0000ff'});
var s = board.create('slider', [[0,-1],[1.5,-1],[0,1,1]], {name:'ε'});
var x1 = board.create('glider', [1/2, 0, board.defaultAxes.x], {name:'a'});
// Helper points on x-axis
var y1 = board.create('point', [0, () => f(x1.X())], {size:2, face:'[]', name:'f(a)'});
var y2 = board.create('point', [0, () => f(x1.X())-s.Value()], {size:2, face:'[]', name:' '});
var y3 = board.create('point', [0, () => f(x1.X())+s.Value()], {size:2, face:'[]', name:' '});
// Helper points on curve
var z1 = board.create('point', [() => f(y1.Y()), () => y1.Y()], {size:2, face:'[]', name:' '});
var z2 = board.create('point', [() => f(y2.Y()), () => y2.Y()], {size:2, face:'[]', name:' '});
var z3 = board.create('point', [() => f(y3.Y()), () => y3.Y()], {size:2, face:'[]', name:' '});
// Horizontal helper lines
var v1 = board.create('segment', [z1,y1], {strokeColor:'gray', dash:2, strokeWidth:1});
var v2 = board.create('line', [z2,y2], {strokeColor:'gray', dash:2, strokeWidth:1});
var v3 = board.create('line', [z3,y3], {strokeColor:'gray', dash:2, strokeWidth:1});
// Vertical helper lines
var h1 = board.create('curve', [(t) => z1.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h2 = board.create('curve', [(t) => z2.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
var h3 = board.create('curve', [(t) => z3.X(), (t) => t, 0, 20], {strokeColor:'gray',dash:2,strokeWidth:1});
// Display maximum possible delta for given epsilon
var txt = board.create('text', [1.2, 4.3, function() {
return 'δ = ' + Math.min(z1.X() - z3.X(), z2.X() - z1.X()).toFixed(5); }]);
</jsxgraph>