analyze the graphed function to find the local minimum and the local maximum for the given function. which…

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

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

Answer

Explanation:

Step1: Check interval [1, 3]

The function value at the lowest - point in [1, 3] is not 0.

Step2: Check interval [2, 4]

In the interval [2, 4], the lowest - point of the function is at (3.4, - 8), so the local minimum is - 8.

Step3: Check interval [3, 5]

In the interval [3, 5], the lowest - point of the function is at (3.4, - 8), so the local minimum is - 8.

Step4: Check interval [1, 4]

In the interval [1, 4], the highest - point of the function is at (2, 0), so the local maximum is 0.

Step5: Check interval [3, 5]

In the interval [3, 5], the highest - point of the function is not 0.

Answer:

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.