find the locations and values of all relative extrema for the function with the graph below. the function…

Explanation:

Step1: Identify relative maximum

A relative maximum is a point where the function changes from increasing to decreasing. Looking at the graph, at (x = 1), the function has a relative maximum value of (y = 1) (since the (y -) coordinate at the peak is (1)).

Step2: Identify relative minimum

A relative minimum is a point where the function changes from decreasing to increasing. Looking at the graph, at (x=- 1), the function has a relative minimum value of (y=-3) (since the (y -) coordinate at the trough is (-3)).

Answer:

The function has a relative maximum of (1) at (x = 1) and a relative minimum of (-3) at (x=-1).