the given function f(x) is defined on the interval (-9, 9) and represented by the graph below. find the x…

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.

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.

Answer

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)