calculating local maximum and local minimum values\nuse the graph to find the local minimum and the local…

calculating local maximum and local minimum values\nuse the graph to find the local minimum and the local maximum for the given function.\nover the interval -3, 0, the local minimum is \nover the interval 0, 3, the local maximum is \nover the interval 0, 3, the local minimum is

calculating local maximum and local minimum values\nuse the graph to find the local minimum and the local maximum for the given function.\nover the interval -3, 0, the local minimum is \nover the interval 0, 3, the local maximum is \nover 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 (y = - 16).

Step2: Analyze interval [0, 3]

For the local maximum in [0, 3], the highest - point in this interval is at (x = 1) and (y=4).

Step3: Analyze local minimum in [0, 3]

The lowest - point in the interval [0, 3] is at (x = 2) 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.