which statement is true about the local minimum of the graphed function? over the interval -4,-2, the local…

which statement is true about the local minimum of the graphed function? over the interval -4,-2, the local minimum is 0. over the interval -2,-1, the local minimum is 25. over the interval -1,4, the local minimum is 0. over the interval 4,7, the local minimum is -7.

which statement is true about the local minimum of the graphed function? over the interval -4,-2, the local minimum is 0. over the interval -2,-1, the local minimum is 25. over the interval -1,4, the local minimum is 0. over the interval 4,7, the local minimum is -7.

Answer

Answer:

Over the interval [4, 7], the local minimum is -7.

Explanation:

Step1: Analyze interval [-4,-2]

The function values are above 0 in [-4,-2].

Step2: Analyze interval [-2,-1]

The function has a maximum - like behavior around this interval, not a minimum of 25.

Step3: Analyze interval [-1,4]

The function has a local minimum at a value less than 0 in this interval.

Step4: Analyze interval [4,7]

The lowest - point in [4,7] is at (5, - 7), so local minimum is -7.