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(a)Without using a graphing utility, specify the amplitude and the period for each of the following four functions:

$y=\cos x, y=2 \cos x, y=3 \cos x,$ and $y=4 \cos x$

(b) Check your answers in part (a) by graphing the four functions. (Use the viewing rectangle specified in Exercise 1.)

a) for $y=\cos x \Rightarrow A=1,$ period $=2 \pi$

for $y=2 \cos x \Rightarrow A=2,$ period $=2 \pi$

for $y=3 \cos x \Rightarrow A=3,$ period $=2 \pi$

for $y=4 \cos x \Rightarrow A=4,$ period $=2 \pi$

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Missouri State University

Harvey Mudd College

Numerade Educator

Idaho State University

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