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

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

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

Answer

Explanation:

Step1: Recall local - minimum definition

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

Step2: Identify local - minimum points on the graph

Looking at the graph of (y = h(x)), we see that the function changes from decreasing to increasing at (x=-1) and (x = 3).

Step3: Find the local - minimum values

When (x=-1), (h(-1)= - 2); when (x = 3), (h(3)=0).

Answer:

All values at which (h) has a local minimum: (-1,3) All local minimum values of (h): (-2,0)