Please show work.

1. Explain how to find the absolute minimum and absolute maximum values of the function f(x) = 2x3-32 -12x +91 on the interval [-5,0). Then find the absolute minimum and absolute maximum values 2. Which of these functions satisfy the Extreme Value Theorem? Explain your reasoning for all three. (a) f(x) = - 12 - 4 [-3, 2] (b) f(x) = ex [0, 1] (c) f(x) = cos(2) (-1, 27)