Answer
$y = 3~sec~\frac{1}{4}x$
We can see the graph below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e5192634-4d52-45c9-bcaf-40c72eb6f77d/result_image/1531456077.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013720Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=bbdd44715c71f2249b78b815085d801f4cd02d84cd0db7e6c7155cf164843222)
Work Step by Step
$y = 3~sec~\frac{1}{4}x$
When $x = -2\pi$, then $y = 3~sec~\frac{-\pi}{2}$ (which is undefined)
When $x = 0$, then $y = 3~sec~0 = 3$
When $x = 2\pi$, then $y = 3~sec~\frac{\pi}{2}$ (which is undefined)
When $x = 4\pi$, then $y = 3~sec~\pi = -3$
When $x = 6\pi$, then $y = 3~sec~\frac{3\pi}{2}$ (which is undefined)
We can see the graph below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e5192634-4d52-45c9-bcaf-40c72eb6f77d/steps_image/small_1531456077.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T013720Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=a82f0e93512cd9a27479b8d531ac1e267a3a759759937712604ef62afc17fff5)