1) Determine the location and value of the absolute extreme values of f(x) = 5x5 - x on [0,3125]. 2) For the function f (x) = x3 - 2x2 on [0,1]: a) Determine if the Mean Value Theorem applies and explain why or why not. b) If the MVT applies, find the point(s) guaranteed to exist according to the MVT. 3) Given f (x) = 6x2 - 7x - 11 on [-2,2]: a) Locate critical points. b) Use the first derivative test to locate local minimum and maximum values. c) Identify the absolute minimum and maximum values of the function on the given interval. 4) Given f (x) = -e*(x + 2) determine the intervals on which the function is concave down and concave up and identify inflection points