Difference between revisions of "Continuous functions"

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Line 1: Line 1:
 
<jsxgraph width="600" height="500" box="box">
 
<jsxgraph width="600" height="500" box="box">
  var board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});
+
  var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});
 
  board.suspendUpdate();
 
  board.suspendUpdate();
var b1axisx = board.create('axis', [[0,0], [1,0]], {});
 
var b1axisy = board.create('axis', [[0,0], [0,1]], {});
 
  
 
  var f = function(x) {
 
  var f = function(x) {
Line 16: Line 14:
 
  var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&epsilon;'});
 
  var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&epsilon;'});
  
  var x1 = board.create('glider', [-2,0,b1axisx],{name:'a'});
+
  var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
 
  board.suspendUpdate();
 
  board.suspendUpdate();
  var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});
+
  var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
  var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});
+
  var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
  var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});
+
  var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
  var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});
+
  var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
  var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});
+
  var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
  var v1 = board.create('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});
+
  var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
Line 30: Line 28:
 
  var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 
  var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 
  var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 
  var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
board.unsuspendUpdate();
+
board.unsuspendUpdate();
 
</jsxgraph>
 
</jsxgraph>
  
Line 40: Line 38:
  
 
<source lang="javascript">
 
<source lang="javascript">
  var board = JXG.JSXGraph.initBoard('box', {originX: 300, originY: 300, unitX: 50, unitY: 50});
+
  var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});
 
  board.suspendUpdate();
 
  board.suspendUpdate();
var b1axisx = board.create('axis', [[0,0], [1,0]], {});
 
var b1axisy = board.create('axis', [[0,0], [0,1]], {});
 
  
 
  var f = function(x) {
 
  var f = function(x) {
Line 56: Line 52:
 
  var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&epsilon;'});
 
  var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&epsilon;'});
  
  var x1 = board.create('glider', [-2,0,b1axisx],{name:'a'});
+
  var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
  var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{style:7,name:' '});
+
board.suspendUpdate();
  var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{style:7,name:' '});
+
  var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
  var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{style:7,name:'f(a)'});
+
  var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
  var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{style:7,name:' '});
+
  var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
  var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{style:7,name:' '});
+
  var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
  var v1 = board.create('line', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1,straightFirst:false,straightLast:false});
+
  var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
 +
  var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});
 
  var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});

Revision as of 14:06, 7 June 2011

References

The underlying JavaScript source code

 var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-6, 6, 6, -4], axis: true});
 board.suspendUpdate();

 var f = function(x) {
       if (x<1) {
          return 0.5*x*x;
       } else {
         return x+1;
       }
      };
 var graph = board.create('functiongraph', [f], {strokeColor:'#00ff00'});

 var s = board.create('slider', [[0,-1],[4,-1],[0,1,1]],{name:'&epsilon;'});

 var x1 = board.create('glider', [-2,0,board.defaultAxes.x],{name:'a'});
 board.suspendUpdate();
 var x2 = board.create('point', [function(){return x1.X()-s.Value();},0],{size:2,face:'[]',name:' '});
 var x3 = board.create('point', [function(){return x1.X()+s.Value();},0],{size:2,face:'[]',name:' '});
 var y1 = board.create('point', [function(){return x1.X();},function(){return f(x1.X());}],{size:2,face:'[]',name:'f(a)'});
 var y2 = board.create('point', [function(){return x2.X();},function(){return f(x2.X());}],{size:2,face:'[]',name:' '});
 var y3 = board.create('point', [function(){return x3.X();},function(){return f(x3.X());}],{size:2,face:'[]',name:' '});
 var v1 = board.create('segment', [x1,y1],{strokeColor:'gray',dash:2,strokeWidth:1});
 var v2 = board.create('line', [x2,y2],{strokeColor:'gray',dash:2,strokeWidth:1});
 var v3 = board.create('line', [x3,y3],{strokeColor:'gray',dash:2,strokeWidth:1});

 var h1 = board.create('curve', [function(t){return t},function(t){return y1.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 var h2 = board.create('curve', [function(t){return t},function(t){return y2.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 var h3 = board.create('curve', [function(t){return t},function(t){return y3.Y();}], {strokeColor:'gray',dash:2,strokeWidth:1});
 board.unsuspendUpdate();