Answer
$y = -2~sec~\frac{1}{2}x$
We can see the graph below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ad1fe178-945e-4fd4-9eeb-cf4bee1b85f8/result_image/1531456846.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022314Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=0c2c78af89de15d1b3c69644fa884a33d686448c160810e230439b580749f876)
Work Step by Step
$y = -2~sec~\frac{1}{2}x$
When $x = -\pi$, then $y = -2~sec~\frac{-\pi}{2}$ (which is undefined)
When $x = 0$, then $y = -2~sec~0 = -2$
When $x = \pi$, then $y = -2~sec~\frac{\pi}{2}$ (which is undefined)
When $x = 2\pi$, then $y = -2~sec~\pi = 2$
When $x = 3\pi$, then $y = -2~sec~\frac{3\pi}{2}$ (which is undefined)
We can see the graph below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/ad1fe178-945e-4fd4-9eeb-cf4bee1b85f8/steps_image/small_1531456846.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022314Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=d85f0814363f0ebce7253c208a20f0272a724b0aa7479fa7845b1f1be8c55e2a)