Consider the function f (x) = = a. (2 pts) Find the average or mean slope of f(x) over the interval [2,4). That is, find (()-r(@) D-a b. (3 pts) The Mean Value Theorem can be applied to f(x) over the interval [2,4]. Find all values of c for which f'(c) is equal to the average/mean slope of f(x) over [2.4]. C. (1 pts) Explain why the Mean Value Theorem cannot be applied to f(x) over the interval [-1,1]. That is, what requirement/hypothesis of the MVT is not met over [-1,1]? Consider the graph of f(x) on [-5,9] given below. a. (2 pts) List all local minimums in (x, y) ordered pair form. b. (2 pts) List all local maximums in (x, y) ordered pair form. C. (1 pts) List all absolute minimums in (x, y) ordered pair form. d. (1 pts) List all absolute maximums in (x, y) ordered pair form. 1 2 /3 4 5 6 1