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

Answer

Explanation:

Step1: Recall local - maximum definition

A local maximum of a function (y = f(x)) is a point where the function value is greater than or equal to the values of the function in a small interval around that point. On the graph, local maxima are the "peaks".

Step2: Identify local - maximum values

Looking at the graph, the (y) - values of the peaks are the local maximum values. The peaks occur at (y = 3). So the local maximum value of (f) is (3).

Step3: Identify (x) - values of local maxima

The (x) - values at which the local maxima occur are the (x) - coordinates of the peaks. The peaks occur at (x=- 3) and (x = 1).

Answer:

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