For each of the following functions, find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval, or explain why no such c exist:

(a) g(x) = -x3 +3x2 +2x -4 x#2 on [-3, 3] x = 2 Hint: g does not need to be written as a piecewise function. Try rewriting g as a simpler function first! (b) q(x) = = 1 12 + 3 on [-4, 2] (c) r(x) = (x - 5| on [-12, 8] (d) h(x) = -+5 if0