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 maximum: all local maximum 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 maximum: all local maximum values of f:

Answer

Explanation:

Step1: Identify local maximum points

A local maximum occurs where the function changes from increasing to decreasing. Looking at the graph, we find such a point.

Step2: Determine x - value of local maximum

The x - value at the local maximum point is the value at which the function has a local maximum. From the graph, it appears to be $x=-2$.

Step3: Determine y - value of local maximum

The y - value at the local maximum point is the local maximum value of the function. From the graph, when $x = - 2$, $y = 2$.

Answer:

All values at which $f$ has a local maximum: $-2$ All local maximum values of $f$: $2$