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

list the interval(s) on which f is decreasing.\nthe interval(s) on which f is decreasing 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 decreasing.\nthe interval(s) on which f is decreasing is/are \n(type your answer in interval notation. use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Recall decreasing - function definition

A function (y = f(x)) is decreasing 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)).

Step2: Analyze the graph

Looking at the graph, we observe the parts where the curve is going down - ward as we move from left to right. We see that the function is decreasing on the intervals ((- 8,-6)) and ((2,6)).

Answer:

((-8,-6),(2,6))