use the graphing tool to find the local minimum and the local maximum for the given function. over the…

use the graphing tool to find the local minimum and the local maximum for the given function. over the interval -3, -1, the local minimum is over the interval -1, 0, the local maximum is over the interval 0, 3, the local minimum is

use the graphing tool to find the local minimum and the local maximum for the given function. over the interval -3, -1, the local minimum is over the interval -1, 0, the local maximum is over 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 is at the left - hand end of the interval. The value of the function at (x=-3) is not shown, but in the given part of the graph for this interval, the lowest point is at (x = - 1) and (y = 0).

Step2: Analyze interval [-1, 0]

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

Step3: Analyze interval [0, 3]

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

Answer:

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