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

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

Answer

Explanation:

Step1: Recall local - minimum definition

A local minimum of a function occurs at a point where the function value is less than or equal to the values of the function at nearby points. On a graph, it is a "valley" point.

Step2: Identify local - minimum values

Looking at the graph of (y = g(x)), the (y) - values of the local minimum points are the local minimum values. The local minimum values are (y=-4).

Step3: Identify (x) - values of local - minimum points

The (x) - values at which the local minimums occur are the (x) - coordinates of the local - minimum points. The (x) - values at which (g(x)) has a local minimum are (x=-3,2).

Answer:

All local minimum values of (g): (-4) All values at which (g) has a local minimum: (-3,2)