Question

analyze the graphed function to find the local minimum and the local maximum for the given function. which statements about the local maximums and minimums for the given function are true? choose three options. over the interval 1, 3, the local minimum is 0 over the interval 2, 4, the local minimum is -8. over the interval 3, 5, the local minimum is -8. over the interval 1, 4, the local maximum is 0. over the interval 3, 5, the local maximum is 0.

Explanation:

Step1: Analyze interval [1, 3]

The function value is not 0 as minimum in [1, 3].

Step2: Analyze interval [2, 4]

The lowest - point in [2, 4] is at approximately (3.4, - 8), so local minimum is - 8.

Step3: Analyze interval [3, 5]

The lowest - point in [3, 5] is at approximately (3.4, - 8), so local minimum is - 8.

Step4: Analyze interval [1, 4]

The highest - point in [1, 4] is not 0.

Step5: Analyze interval [3, 5]

The highest - point in [3, 5] is not 0.

Answer:

Over the interval [2, 4], the local minimum is - 8.
Over the interval [3, 5], the local minimum is - 8.