Chapter 13.4, Problem 34WE

To determine

To Graph: The functions. Show at least two periods.

Explanation of Solution

Given: $y=2\cos \pi x$

Given: $y=2\cos \pi x$

The function is in the form of

  $y=a\cos bx$

Period of the function.

  $\begin{array}{l}=\frac{2\pi }{b}\\ b=\pi \\ thus\\ =\frac{2\pi }{\pi }=2\end{array}$

The graph of the function $y=2\cos \pi x$ is shown below.

  

The amplitude of the functions is $2$ .

The period of the function is $2$ .