7/31/23, 2:30 AM Curve Sketching Assignment Curve Sketching Assignment 1. Find the intercepts of each function. a. f(x) = x2 + 2x - 15 [3 marks] b. y = [3 marks] c. f(x) = 8 - V4x2 - 46x + 108 [4 marks] 2. Find the domain of each function. a. y = = $4 30+2 [2 marks] T-4 b. y = 4x3 + 7x2 - 13x + 100 [1 mark] c. f(x) = V105 - 3x [3 marks] 3. Determine if each function is even, odd, or neither. a. f(x) = [3 marks] by = x"+ 19x + 18 [3 marks] c. f (2) = 14x [3 marks] 4. Determine the vertical asymptote(s) of each function. a. y = x 15x-7 [3 marks] 12-3.x-28 b. f z = 15+4x8 4146 [4 marks ] 5. Determine the horizontal asymptote, if any, of each function. a. y = a + 2x2 - 6 [1 mark] by = x'+2723 8x2-7 [1 marks] 25+5x3-15 c. f (2) = 30 42 10-3x? [2 marks] 6. For each function determine the critical values, the intervals of increase and decrease, and the minimum and maximum points. a. f (a) = 4x2 + 12x - 7 [4 marks] b. f(ae) = 23 - 9x2 + 24x - 10 [4 marks] c. y = 7242x 15 4 marks] https://course.ilc.tvo.org//content/enforced/23228188-MCV4U-EN-02-03-ON-(I-D-0323)/course_content/assets/locker_docs/mcv4u_03.04.10.html?ou=... 1/27/31/23, 2:30 AM Curve Sketching Assignment 7. Find the intervals of concavity and state the points of inflection in each function. a. f(x) = 24 - 2x3 + x - 2 [4 marks] b. f ( 2) = [4 marks ] 8. Using the second derivative test, find the maximum and minimum points for the function f (x) = x - 8x' + 5 [5 marks] 9. What conclusions can be made if: a. A function changes from a decreasing interval to an increasing interval at