(a) find the open intervals on which the function shown in the graph is increasing and decreasing. (b)…

(a) find the open intervals on which the function shown in the graph is increasing and decreasing. (b) identify the functions local and absolute extreme values, if any, saying where they occur. (a) on what open interval(s), if any, is the function increasing? select the correct choice below and fill in any answer boxes within your choice. a. the function is increasing on the open interval(s) (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never increasing.

(a) find the open intervals on which the function shown in the graph is increasing and decreasing. (b) identify the functions local and absolute extreme values, if any, saying where they occur. (a) on what open interval(s), if any, is the function increasing? select the correct choice below and fill in any answer boxes within your choice. a. the function is increasing on the open interval(s) (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never increasing.

Answer

Explanation:

Step1: Recall increasing - decreasing rules

A function is increasing when the graph rises from left - to - right and decreasing when it falls from left - to - right.

Step2: Analyze the graph

Looking at the given graph, we can see that the function rises on the intervals $(-80,-40)$ and $(20,80)$.

Answer:

A. The function is increasing on the open intervals $(-80,-40),(20,80)$