locating local maximum and minimum function values\nuse the graphing tool to find the local minimum and the…

locating local maximum and minimum function values\nuse the graphing tool to find the local minimum and the local maximum for the given function.\nover the interval -3, -1, the local minimum is \nover the interval -1, 0, the local maximum is \nover the interval 0, 3, the local minimum is

locating local maximum and minimum function values\nuse the graphing tool to find the local minimum and the local maximum for the given function.\nover the interval -3, -1, the local minimum is \nover the interval -1, 0, the local maximum is \nover the interval 0, 3, the local minimum is

Answer

Explanation:

Step1: Analyze interval [-3, -1]

By observing the graph, in the interval [-3, -1], the lowest - point occurs at the left - hand end. The value of the function at (x=-3) is approximately (y = 20).

Step2: Analyze interval [-1, 0]

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

Step3: Analyze interval [0, 3]

In the interval [0, 3], the lowest - point is at (x = 2) and (y=-30).

Answer:

Over the interval [-3, -1], the local minimum is 20. Over the interval [-1, 0], the local maximum is 0. Over the interval [0, 3], the local minimum is - 30.