Chapter 13.4, Problem 37WE

To determine

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

Explanation of Solution

Given: $y=\cos 2\pi x-1$

Given: $y=\cos 2\pi x-1$

The function is in the form of

  $y=c+a\cos bx$

Period of the function.

  $\begin{array}{l}=\frac{2\pi }{b}\\ b=2\pi \\ thus\\ =\frac{2\pi }{2\pi }=1\end{array}$

The maximum and minimum values of the function $y=\cos 2\pi x$ is $1and-1.$

  

Shifting the graph downward $1$ unit. We will get the graph of $y=\cos 2\pi x-1$ .

The graph of the functionis shown below.

  

The period of the function is $1$ .