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determine all intervals on which the graph of f is decreasing on the cl…

Question

determine all intervals on which the graph of f is decreasing on the closed interval -9,9.

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 given graph

Looking at the graph of \(y = f(x)\) on the closed interval \([-9,9]\), we observe the intervals where the graph is sloping down - ward.
We see that the function is decreasing on the intervals \([-9, - 2]\) and \([3,8]\).

Answer:

\([-9,-2]\) and \([3,8]\)