3.3, 3.4\n< 13 of 20 >\nthis quiz: 20 point(s) possible\nthis question: 1 point(s) possible\nlist the…

3.3, 3.4\n< 13 of 20 >\nthis quiz: 20 point(s) possible\nthis question: 1 point(s) possible\nlist the interval(s) on which f is increasing.\nthe interval(s) on which f is increasing is/are .\n(type your answer in interval notation. use a comma to separate answers as needed.)
Answer
Explanation:
Step1: Recall increasing - function definition
A function (y = f(x)) is increasing on an interval if for any two points (x_1) and (x_2) in the interval with (x_1<x_2), we have (f(x_1)<f(x_2)). On a graph, the function is increasing when the graph moves up - ward as we move from left to right.
Step2: Analyze the given graph
Looking at the graph, we can see that the function is increasing on the intervals ((- 9,-6)) and ((-2,1)) and ((3,6)).
Answer:
((-9,-6),(-2,1),(3,6))