Question

use the graph to determine
a. open intervals on which the function is increasing, if any.
b. open intervals on which the function is decreasing, if any.
c. open intervals on which the function is constant, if any.
a. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the function is increasing on the interval(s) (-5, -2),(2,5)
(type your answer in interval notation. use a comma to separate answers as needed.)
b. there is no interval on which the function is increasing.

Explanation:

Step1: Analyze the graph for increasing intervals

A function is increasing when, as \(x\) values increase, \(y\) values also increase. Looking at the graph, from \(x = - 5\) to \(x=-2\), as \(x\) increases, \(y\) increases. Also, from \(x = 2\) to \(x = 5\), as \(x\) increases, \(y\) increases.

Answer:

A. The function is increasing on the interval(s) \((-5,-2),(2,5)\)