1. (6 points) Verify that the function satisfies the three hypotheses of Mean Value Theorem on the given interval. Then find all numbers that satisfy the conclusion of MVT. f ( x ) = x+= 2. (8 points) For the functions f(x) = x ex/2. (a) Find the critical numbers. (b) Find the absolute maximum and absolute minimum values of f on the interval [-3,1] 3. (6 points) Find the critical numbers for the functions f(x) = x1/3(x-4)2/3