Question

identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1 1 2 3 4 5 increasing: decreasing:

Explanation:

Step1: Recall increasing - decreasing rules

A function is increasing when the graph goes up from left - to - right and decreasing when it goes down from left - to - right.

Step2: Identify increasing intervals

By observing the graph, we see it goes up on the intervals $(-2,0)$ and $(2,\infty)$.

Step3: Identify decreasing intervals

By observing the graph, we see it goes down on the intervals $(-\infty,-2)$ and $(0,2)$.

Answer:

Increasing: $(-2,0)\cup(2,\infty)$
Decreasing: $(-\infty,-2)\cup(0,2)$