Functions

I don't really like the way Mathematica handles the areas that get cut off (top/bottom) by default, so you can fix that with the following option:

This is kind of a mess, so let's tell Mathematica to spend a bit more effort and clean it up; use the option PlotPoints for this (this does slow down plotting, however):

Created by Wolfram Mathematica 6.0  (07 February 2008)