Question

practice assignment 3.3 rates of change and behavior of graphs score: 70/120 answered: 7/12 progress saved done question 8 0/10 pts 3 99 details the function graphed above is: increasing on the interval(s) decreasing on the interval(s) question help: video message instructor post to forum

Explanation:

Step1: Recall increasing - decreasing definition

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 graph

By observing the given graph, we can see that the function is increasing when moving from left to right in the intervals where the y - values are getting larger. Similarly, we can find the decreasing intervals where y - values are getting smaller.
The function is increasing on the interval $(-3,0)$.
The function is decreasing on the intervals $(-\infty,-3)\cup(0,\infty)$.

Answer:

Increasing on the interval(s): $(-3,0)$
Decreasing on the interval(s): $(-\infty,-3)\cup(0,\infty)$