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

re 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 local maximum values of f: all values at which f has a local maximum:

re 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 local maximum values of f: all values at which f has a local maximum:

Answer

Explanation:

Step1: Identify local maximum points

Local maximum points are where the function changes from increasing to decreasing. On the graph, we see two such points.

Step2: Determine local - maximum values

The $y$ - coordinates of the local maximum points are the local maximum values. The local maximum values occur at the peaks of the graph. From the graph, the local maximum values of $f$ are $y = 1$.

Step3: Determine $x$ - values of local maximum

The $x$ - coordinates of the local maximum points are the values at which $f$ has a local maximum. The $x$ - values of the local maximum points are $x=-3,3$.

Answer:

All local maximum values of $f$: $1$ All values at which $f$ has a local maximum: $-3,3$