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

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 relative 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 relative maxima.

Answer

Explanation:

Step1: Identify relative maxima

A relative maximum is a point on the graph where the function changes from increasing to decreasing, and it is higher than the nearby points.

Step2: Locate x-values of maxima

Looking at the graph, there are two such points: one at $x=-5$ (the peak on the left segment) and one at $x=4$ (the peak of the upper parabola segment).

Answer:

$x=-5$ and $x=4$