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

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)). Visually, the graph of the function rises as we move from left - to - right.

Step2: Analyze the graph

Looking at the given graph of the function (y = f(x)), we observe the intervals where the graph is rising. We see that the function is rising from (x=-12) to (x = - 8), and from (x=-4) to (x = 0), and from (x = 2) to (x=4).

Step3: Write in interval notation

The interval notation for these intervals are ((-12,-8)), ((-4,0)) and ((2,4)).

Answer:

((-12,-8),(-4,0),(2,4))