In: Math
This problem refers to the Mean Value Theorem, using f(x) = −x 2 − 2x + 3 on the interval [−2, 1].
(a) Does the Mean Value Theorem apply to f(x) on the indicated interval? Explain why or why not.
(b) Find the (x, y)-coordinates for the endpoints of the function on this interval and calculate the slope of the line through these points.
(c) According to the Mean Value Theorem, what would f'(c) be equal to?
(d) Determine a value of c in the interval for which the Mean Value Theorem is satisfied.