1. Find the absolute or local maximum and minimum values of f. Give exact answers. f(x) = xze-gx 2. Sketch a graph of a function f that is continuous on (00, 00) and has the following properties. f'(x) 0 on (0,00) 3. Find all the values of c that satisfy the conclusion of the Mean Value Theorem. Give exact answers only. f (X) = . [3.5] xZ 4. Consider the following function. f(x) = 36x + 3x2 2x3 a. Find the critical values. Determine the intervals where f is increasing and decreasing. Find any local maximums or minimums. Use interval notation. b. Find any inflection points. Determine the intervals where f is concave up or concave down. Use interval notation