Please help me on calculus: theorem

Question

If f(x) = |(x² - 8)|, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?

Options:

1. three
2. two
3. one
4. none

Answer 1

The slope of the secant is -1.75.

There is only one point where the slope of the tangent to f(x) is -1.75.