Question

What 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.

Answer 1

b) Over the interval [-2, -1], the local minimum is 25. The local minimum of the graphed function occurs over the interval [-2, -1] and has a value of 25.

Step-by-step explanation:

The graphed function has a local minimum at a point where the function is at its lowest value in a small neighborhood. To determine the intervals where the local minimum occurs, we need to analyze the given options.

From the options, we can see that over the interval [-2, -1], the local minimum is 25. This means that the function reaches its lowest point within this interval. Therefore, the correct answer is option b).