In order to enter the exponential function, , in Maple, you must
use the exp command. The syntax of this command is similar to
that of sin and cos. For example, here we enter the
function
and then evaluate at x = 2.
> f:=exp(x);
> evalf(subs(x=2,f));
The natural log function, ln, is also used in this manner.
> g:=ln(x);
> evalf(subs(x=2,g));
Plotting the two functions and
on the
same coordinate system gives an idea of the symmetry around the line
y=x. Make sure that you can identify which curve is
and which
curve is
.
> plot(f,g,x,x=-5..5,y=-5..5);
Looking at the graph of the two functions, you can get a pretty good idea of what happens to f(x) as x approaches negative infinity; however,in order to be sure, you must take a limit.
> limit(f,x=-infinity);