use the graph to find the local minimum and the local maximum for the given function. over the interval -3…

use the graph to find the local minimum and the local maximum for the given function. over the interval -3, 0, the local minimum is. over the interval 0, 3, the local maximum is. over the interval 0, 3, the local minimum is.

use the graph to find the local minimum and the local maximum for the given function. over the interval -3, 0, the local minimum is. over the interval 0, 3, the local maximum is. over the interval 0, 3, the local minimum is.

Answer

Explanation:

Step1: Analyze interval [-3, 0]

By observing the graph, in the interval [-3, 0], the lowest - point occurs at the end - point (x=-3) and the function value at (x = - 3) is (y=-16).

Step2: Analyze interval [0, 3] for maximum

In the interval [0, 3], the highest - point is at (x = 1) and the function value (y = 4).

Step3: Analyze interval [0, 3] for minimum

In the interval [0, 3], the lowest - point is at (x = 2) and the function value (y=-4).

Answer:

Over the interval [-3, 0], the local minimum is -16. Over the interval [0, 3], the local maximum is 4. Over the interval [0, 3], the local minimum is -4.