Question

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

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

Step2: Analyze the graph

Looking at the graph, we observe the intervals where the curve is going down - ward as we move from left to right.
We see that the function is decreasing on the intervals \(- 10

Answer:

\((-10,-6),(0,4),(6,8)\)