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. (a) all local maximum values of f: (b) all values at which f has a local maximum:

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. (a) all local maximum values of f: (b) all values at which f has a local maximum:

Answer

Explanation:

Step1: Identify local maximum points

Local maximum points are peaks on the graph where the function changes from increasing to decreasing.

Step2: Determine local - maximum values

The local - maximum values are the $y$ - coordinates of the local - maximum points. From the graph, the local - maximum values occur at $y = 3$.

Step3: Determine $x$ - values of local maximum

The $x$ - values at which the local maximum occurs are the $x$ - coordinates of the local - maximum points. From the graph, the function has local maxima at $x=-1$ and $x = 3$.

Answer:

(a) 3 (b) -1,3