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

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

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

Answer

Explanation:

Step1: Recall local - minimum definition

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

Step2: Identify x - values

Looking at the graph, the function changes from decreasing to increasing at (x=-3). So the value of (x) at which (f) has a local minimum is (x = - 3).

Step3: Find local - minimum value

To find the local - minimum value, we look at the (y) - coordinate of the point where (x=-3). From the graph, when (x = - 3), (y = 0).

Answer:

All values at which (f) has a local minimum: (-3) All local minimum values of (f): (0)