Question

homework assignment 3.3 rates of change and behavior of graphs score: 6/11 answered: 6/11 question 8 the function graphed above is: increasing on the interval(s) decreasing on the interval(s) question help: video written example message instructor submit question

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

Looking at the graph, we see that the function is increasing on the interval where the y - values are getting larger as the x - values increase. This occurs on the interval $(-2,1)$.

Step3: Analyze the decreasing part

The function is decreasing where the y - values are getting smaller as the x - values increase. This occurs on the intervals $(-\infty,-2)$ and $(1,\infty)$.

Answer:

Increasing on the interval(s): $(-2,1)$
Decreasing on the interval(s): $(-\infty,-2)\cup(1,\infty)$