Show work

(1 point) Consider the function f(x) = 4 - 4x2 on the interval [-1, 4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4-(-1) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f' (c) is equal to this mean slope. For this problem, there is only one c that works. Find it. c = (1 point) Consider the function f(x) = 4 - 4x2 on the interval [-1, 4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1) 4 - (-1) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f' (c) is equal to this mean slope. For this problem, there is only one c that works. Find it. (1 point) Consider the function f(x) = 4 - 4x2 on the interval [-1, 4]. (A) Find the average or mean slope of the function on this interval, i.e. f(4) - f(-1)_ 4- (-1) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-1, 4) such that f' (c) is equal to this mean slope. For this problem, there is only one c that works. Find it. CE (1 point) Suppose f is a differentiable function such that f' (x) $ 5 for all x E [-1, 7]. If f(-1) = 2, the Mean Value Theorem says that f(7)