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 function value is lowest at $x=-2$ and $y = 0$.

Step2: Analyze interval [-1, 0]

In the interval [-1, 0], the function value is highest at the point where $x$ is approximately $-0.5$ and $y\approx5$.

Step3: Analyze interval [0, 3]

In the interval [0, 3], the function value is lowest 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 approximately 5. Over the interval [0, 3], the local minimum is -30.