Question

determine the interval(s) on which the function is (strictly) increasing. write your answer as an interval or list of intervals. when writing a list of intervals, make sure to separate each interval with a com click on
one\ if applicable.

Explanation:

Step1: Recall increasing - function definition

A function is increasing when, as \(x\) increases, \(y\) also increases. On a graph, the function has a positive - slope.

Step2: Analyze the given graph

Looking at the graph, we can see that the function is increasing on two intervals. From \(x=-5\) to \(x = - 1\), as \(x\) values increase, the \(y\) values increase. Also, from \(x = 3\) to \(x=6\), as \(x\) values increase, the \(y\) values increase.

Answer:

\((-5,-1),(3,6)\)