1. Determine where g(x) = 2x - 3x - 12x + 15 is increasing and where it is decreasing [8] 2. For each function, find the critical numbers. Use the first derivative test to identify the local maximum and minimum values [8] a. g(x) = 2x - 9x + 12x b. g(x) = x - 2x - 4x 3. Find the vertical asymptotes of the graph of each function. Describe the behaviour of f(x) to the left and right of each asymptote [10] a. f(x) = x+2 b. f(x) = -4 c. f(x) = 3 x +9 d. f(x) = 2-x 3x- -13x-10 4. For each of the following, determine the equations of any horizontal asymptotes. State whether the curve approaches the asymptote from above or below [6] a. y = 3x-1 x+5 b. f (x) = x +3x-2 (x-1)2 5. Find each limit [8] a. lim 3-2x 3x b. lim 5-2x x-4x C. lim 2x-1 3x*-x--2