Which statement is true about the local minimum of the graphed function?

a over the interval [–4, –2], the local minimum is 0.
b over the interval [–2, –1], the local minimum is 25.
c over the interval [–1, 4], the local minimum is 0.
d over the interval [4, 7], the local minimum is -7.

D

Step-by-step explanation:

A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.

B is wrong because the function never even reaches 25 on the interval [-2, -2]

C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.

Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.