Question

locating local maximum and minimum function value
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

Explanation:

Step1: Analyze the graph on [-3, -1]

By observing the graph, we can see the lowest - point in the interval [-3, -1].

Step2: Analyze the graph on [-1, 0]

Find the highest - point in the interval [-1, 0].

Step3: Analyze the graph on [0, 3]

Find the lowest - point in the interval [0, 3].

Answer:

Over the interval [-3, -1], the local minimum value needs to be read from the graph (value not given in the question but can be visually determined from the graph).
Over the interval [-1, 0], the local maximum value needs to be read from the graph (value not given in the question but can be visually determined from the graph).
Over the interval [0, 3], the local minimum value needs to be read from the graph (value not given in the question but can be visually determined from the graph).