Fun with graphs and calculators

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I was coming up with examples for my students as to why we demand they actually understand math in calculus class instead of plugging all their functions into their graphing calculators to draw graphs and calculate integrals. I basically hit the motherload... I have confirmed this works on TI-83 and TI-84, so I imagine it works for TI-89s as well. Other graphing calculators probably require a different period depending on the screen size(if you have one post here and let us know what works!)

Draw the graph of sin(15*pi*x) with two different choices for the window size. For the first choice, let xmin=-2pi and xmax=2pi. For the second time, let xmin=-6.1 and xmax=6

Which graph is a worse representation of the function? Discuss.
 
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