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Winplot is a free graph plotter for Windows made by Richard Parris, Phillips Exeter Academy.

I have just started to scratch the surface  its possibilities, but what I have found so far is excellent. The PageUp and PageDown keys do the zooming and the arrow keys move the center of the graph. A right-click changes the center to where you clicked.

I use it with a projector in my class. Gone are the days where infinity had to be spent for students or teacher to produce a graph of dubious accuracy. (Needless to say, sometimes a sketch is to be preferred if one is analysing the general properties of a function.)