Mathematical functions of one or more variables can be defined in Maple. The function can be evaluated at either numerical or symbolic expressions. For example

Functions can be graphed with the> f:=x->sin(x)/x; sin(x) f := x -> ------ x > f(2.0); .4546487134 > f(t); sin(t) ------ t

That means, that the function will be drawn on the interval to . Try this now

> plot(f,-12..12);

An example of a function in two variables

> g:=(x,y)->(x^2-y^2)/(x^2+y^2); 2 2 x - y g := (x,y) -> ------- 2 2 x + y > g(1,2); -3/5 > g(1,x); 2 1 - x ------ 2 1 + x

Functions of two variables can be graphed with the `plot3d` command

> plot3d(g, -1..1, -1..1);

The examples above are plots of functions.
The other possibility is to graph an *expression*.
The syntax and examples for plotting expressions is

> plot( sin(x)/x, x=-12..12 ); > plot3d( (x^2-y^2)/(x^2+y^2), x=-1..1, y=-1..1 );

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