find the open interval(s) where the following function is increasing, decreasing, or constant. express your…

Explanation:

Step1: Recall function - 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: Analyze the given graph

Looking at the graph, as we move from left to right, the function is increasing on the interval where the curve is rising. This occurs on the interval $(-\infty,- 5)$.

Step3: Continue analyzing the graph

The function is decreasing on the interval where the curve is falling. This occurs on the interval $(-5,\infty)$.

Answer:

Increasing interval: $(-\infty,-5)$; Decreasing interval: $(-5,\infty)$