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 find the lowest - point in the interval [-3, -1].

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

We look for the highest - point in the interval [-1, 0].

Step3: Analyze the graph on [0, 3]

We search for the lowest - point in the interval [0, 3].

Answer:

(Please note that without the actual values from the graph, we can't give specific numerical answers. But the process is to identify the lowest point in [-3, -1] for local minimum, the highest point in [-1, 0] for local maximum and the lowest point in [0, 3] for local minimum by observing the graph.)