list the interval(s) on which f is increasing.\nthe interval(s) on which f is increasing is/are \n(type your…

list 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.)

list 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 goes up as we move from left - to - right.

Step2: Analyze the given graph

By observing the graph, we look for the intervals where the curve is rising. We can see that the function is increasing on the intervals ((- 2,-1)) and ((1,3)).

Answer:

((-2,-1),(1,3))