Question

the given function f(x) is defined on the interval (-9, 9) and represented by the graph below. find the x - value(s) of all local maxima.

Explanation:

Step1: Recall local - maxima definition

A local maximum occurs at a point where the function changes from increasing to decreasing.

Step2: Analyze the graph

Looking at the graph of \(y = f(x)\) on the interval \((-9,9)\), we see that the function changes from increasing to decreasing at \(x=-5\) and \(x = 5\).

Answer:

\(x=-5,x = 5\)