Chapter 13.4, Problem 36WE

To determine

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

Explanation of Solution

Given: $y=3\sin \frac{\pi }{4}x$

Given: $y=3\sin \frac{\pi }{4}x$

The function is in the form of

  $y=a\sin bx$

Period of the function.

  $\begin{array}{l}=\frac{2\pi }{b}\\ b=\frac{\pi }{4}\\ thus\\ =\frac{2\pi }{\frac{\pi }{4}}=8\end{array}$

The graph of the functionis shown below.

  

The amplitude of the functions is $2$ .

The period of the function is $8$ .