Question

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

Explanation:

Step1: Recall local - maximum definition

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

Step2: Examine the graph

Look for the peaks in the graph of the function \(g\). At these points, the function value is greater than the values of the function in a small open - interval around that point.

Step3: Identify the \(x\) - values

From the graph, we can see that the function \(g\) has local maximums at \(x = 2,x=- 2\).

Answer:

\(-2,2\)