View source for Asymptote: Graphing

{{Asymptote}}

<b>Note</b> These example are for the AoPS forums, If you want to use them on your computer, you must "import graph;".

There are two parts to a graph. 

The axises codes:

<pre><nowiki>Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 
</nowiki></pre>

This means ticks at an interveral of 2.0 between -8 and 8 for both the x and y axises.

And the graph code:

<pre><nowiki>
real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2));</nowiki></pre>

The return <math>x^3</math> is the function of the graph, and the draw command draws the graph from the <math>x</math> coordinate of <math>x = - 2</math> to <math>x = 2</math>.

<asy>
import graph; 
size(300); 
Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 
real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2));
</asy>

We can also alter the ticks code. For example, if we want intervals of 2 labeled, then 0.5 in between each one, we can use the following code:

<pre><nowiki>Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0,0.5)); 
yaxis(-8,8,Ticks(f, 2.0,0.5)); 
</nowiki></pre>

<asy>
Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0,0.5)); 
yaxis(-8,8,Ticks(f, 2.0,0.5));
</asy>
This graph, like with any draw command, can have several attributes fixed to it, such as color:

<asy>
import graph; 
size(300); 
Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 
real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2),green+linewidth(1));
</asy>

<pre><nowiki>
import graph; 
size(300); 
Label f; 
f.p=fontsize(6); 
xaxis(-8,8,Ticks(f, 2.0)); 
yaxis(-8,8,Ticks(f, 2.0)); 
real f(real x) 
{ 
return x^3; 
} 
draw(graph(f,-2,2),green+linewidth(1));
</nowiki></pre>

Remember, you can still draw normal functions, so you can create lines, circles and ellipses.