Question

determine all intervals on which the graph of f is decreasing.

Explanation:

Step1: Recall decreasing - graph property

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 given graph

Looking at the graph of \(y = f(x)\), we observe the intervals where the graph is sloping down - ward.
We see that the graph is decreasing on the intervals \(- 8

Answer:

\((-8, - 5)\), \((0,3)\), \((6,9)\)