identify the location and value of any relative maxima or minima of the function.

Explanation:

Step1: Understand relative maxima and minima

A relative maximum is a point where the function changes from increasing to decreasing. A relative minimum is a point where the function changes from decreasing to increasing.

Step2: Analyze the graph

Looking at the graph of (y = f(x)):

• At (x=-2), the function changes from decreasing to increasing. The (y) - value is (y = - 2).
• At (x = 2), the function changes from increasing to decreasing. The (y) - value is (y=1).
• At (x = 4), the function changes from decreasing to increasing. The (y) - value is (y=-1) (assuming the grid - based value, since the point is on the (x = 4) line and one unit below the (x) - axis in the context of the grid).

Answer:

Relative minimum at ((-2,-2)) and ((4, - 1)); relative maximum at ((2,1))