There are probably numerous ways to do this in Mathematica (not familiar with Maple). The simplest I can think of right now is: make a table of the values you want and use ListPlot to display them.
For example
F[n_]:=n!
ListPlot[F/@Range[1,5]]
The first line defines your function (I suppose you already have that). In the second line, Range creates a list {1, 2, 3, 4, 5} and then maps each element to the function. The result is a list {F[1], F[2], ..., F[5]} which is then sent to ListPlot for display.
Hope that helps :)