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 minimum: all local minimum 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 minimum: all local minimum values of g:

Answer

Explanation:

Step1: Recall local - minimum definition

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

Step2: Identify x - values of local minima

Looking at the graph, the function $g$ changes from decreasing to increasing at $x=-3$ and $x = 3$.

Step3: Identify local - minimum values

When $x=-3$, $y = 1$ and when $x = 3$, $y=-2$.

Answer:

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