Question

locating local maximum and minimum function values. 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 for [-3, -1]

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

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

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

Step3: Analyze the graph for [0, 3]

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

Since the graph is not provided with numerical values, we assume we are reading from the visual graph. Let's say from visual inspection:

Answer:

Over the interval [-3, -1], the local minimum is [value from graph].
Over the interval [-1, 0], the local maximum is [value from graph].
Over the interval [0, 3], the local minimum is [value from graph].

(Note: In a real - world scenario, you would substitute the actual y - values obtained from the graph for the placeholders [value from graph].)