PART A: SHORT ANSWER [10 Marks] Write the answer for each question in the space provided. No work needs to be shown. [1 each] #1. Fully factor 3}:4 48: #2. The remainder when 214 6x2 + 4 is divided by x + 2 is: #3. Dividing x3 + kt by x 2 leaves a remainder of 20. The value of k is: #4. The average rate of change of f(x) = 2-\\/; between .7: = 1 and x = 4 is: #5. The instantaneous rate of change of f(x) = 2\\/; when x = 1 is: #6. Is 4x+l a factor of 64.x:3 + 4x+ 2 ? For the function f (x) = 10;: + 3 : 5x + l #7. Determine the vertical asymptote. VA: x = #8. Determine the horizontal asymptote. HA: y = #9. What is the domain of f(x) 2 #2 x : xzl x4+2 #10. What type of symmetry does f(x) 2 have: Page 1 of5 PART B: Complete Answer [50 Marks] #1. Sketch the following graphs: (a) y = (x+6) (x-5) (b ) y= 2x - 6 [4] #2. Use the following information to sketch a fully labeled graph of y = f (x) : Domain: x * +2 VA: x =12 y-intercept: (0,-2) HA: y =-4 [4] x-intercepts: (+1, 0) and (+3, 0) As x -> 2", y -> too As x -> 2 , y-> too As x -> +oo, y -> -4 (from above) The function has y-axis symmetry * 2 # 3. Sketch the graph of y = x2 - 4 . Show all necessary computations. Be sure to label all pertinent features (asymptotes, intercepts, etc.) Domain: Intercepts: [8] Asymptotes: (including behaviour) Page 2 of 5