a. b. One root of the equation x + 2x - 3x = 6 is: (2) a. b. -3 3 c. -1 d. 1 4 3 2. Consider the graph of f(x) = x^ + x - 7x - x + 6 to determine when f(x) f(x) > 0. (2) x- 3,1 x 1&x 2 - 3 x 1,1 x 2 c. 1 x 1 d. x -3, -1 x 1 & x 2 3. Find the solution to this inequality y-3 4. Solve each inequality showing all of your work by hand. Give your answer using inequality statements & show your process. Optional: Check answers using technology (please include screenshots). (9) a) 6x + 9 - 5 b) (x- -8)(2x 3) (x + 5) > 0 c) 0 x-6 using technology (import screen shot). (2) 5. Sketch a quartic polynomial function y = f(x) such that f(x) < 0 when x < -4 or x > 3 and f(x) > 0 when -4 < x < -1 or -1 Part B Problems Solving/Long Answer - Show all of your work for full marks. When you are explaining, use proper terminology and methods learned in this course. 1. Solve by factoring 3x + 5x + x 1 0. Show your work for full marks. (4) 2. Explain the difference between solving a rational equation and inequality. Support your answer using the function P(x) = to create your own example of each. (4) 1 (x-6) MASTERY TASK! 1. Solve this inequality showing all of your work by hand. chose to solve. Explain your steps & justify your answer to this question: explain the process you (x+2)(x-5) 0. (5) (x-9)(x-2)