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 local minimum values of h: all values at which h has a local minimum:

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 local minimum values of h: all values at which h has a local minimum:

Answer

Explanation:

Step1: Identify local minimum points

A local minimum is a point where the function changes from decreasing to increasing. On the graph, we look for the 'valleys'.

Step2: Determine local - minimum values

The local - minimum values are the $y$ - coordinates of the local - minimum points. From the graph, the local - minimum points are $(-2,-3)$ and $(3,0)$. The local - minimum values are $y=-3,0$.

Step3: Determine $x$ - values of local minima

The $x$ - values at which the function has a local minimum are the $x$ - coordinates of the local - minimum points. So the $x$ - values are $x = - 2,3$.

Answer:

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