Intro to Graphing Assignment Instructions: Answer each question on a seperate sheet of paper providing full solutions. Highlight, bold, encircle or otherwise make clear and distinct your final answer. Show all of your work. Please upload your solutions to this assignment in ONE document. 1. Determine where g(x) = 2x-3x = 2x - 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] 3 a. g(x) = 2x 2x- 9x + 12x b. g(x) == 3 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] x-1 a. f(x) == x+2 1 b. f(x) == 2 9-x 2 x-4 c. f(x) == 3x+9 d. f(x) 2-x == 2 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 2 b. f(x) x +3x-2 == 2 (x-1) 5. Find each limit [8] a. lim 3-2x 3x x 8 3 5-2x b. lim c. lim xx 4 x-4x 2x5-1 4 2 3x-x-2