Please show work.

1. Explain how to find the absolute minimum and absolute maximum values of the function f(x) = 223-3x2 -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) = - [-3, 2) (b) f(x) = ex [0, 1] (c) f(x) = cos(x) (-7, 27)