Question

here is a graph of the function g.
use the graph to find the following.
if there is more than one answer, separate them with commas.
all values at which g has a local maximum:
all local maximum values of g:

Explanation:

Step1: Recall the definition of local maximum

A local maximum of a function is a point where the function changes from increasing to decreasing.

Step2: Identify the local maximum on the graph

Looking at the graph, we can see that at \(x = - 2\), the function \(g(x)\) changes from increasing to decreasing.

Answer:

All values at which \(g\) has a local maximum: \(-2\)
All local maximum values of \(g\): \(2\)