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]

Observe the graph in [-3, 0]. The lowest - point in this interval is at the end - point (x=-3) and (y = - 16).

Step2: Analyze interval [0, 3] for local maximum

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

Step3: Analyze interval [0, 3] for local minimum

In [0, 3], the lowest - point is at (x = 3) and (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.