here is a graph of the function g. use the graph to find the following. if there is more than one answer…

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:

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:

Answer

Explanation:

Step1: Recall local - maximum definition

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

Step2: Identify x - values of local maxima

Looking at the graph, the function $g$ changes from increasing to decreasing at $x=-2$ and $x = 1$.

Step3: Identify local - maximum values

The value of the function $g$ at $x=-2$ is $y = 1$ and at $x = 1$ is $y=3$.

Answer:

All values at which $g$ has a local maximum: $-2,1$ All local maximum values of $g$: $1,3$