Question

use interval notation to describe where f is increasing and where f is decreasing (label your answer as increasing or decreasing)

Answer 1

According to the given graph, the intervals where the function increases are

$(-\infty,-3\rbrack\cup\left\lbrack -5,3\right\rbrack$

Because inside these intervales the y-values increase as x-values increase.

On the other hand, the decreasing intervals are

$(-3,-5)\cup(3,+\infty)$

Since y-values decrease while x-values increase.