11. 2 Consider the function f(x) = 2x¹ + 7x³ + 3x² a. b. C. d. e. 8x - 4. [18 marks total] Use the Factor Theorem and Sy

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11 2 Consider The Function F X 2x 7x 3x A B C D E 8x 4 18 Marks Total Use The Factor Theorem And Sy 1 (52.63 KiB) Viewed 34 times

Note: part e requires a drawing on a grid
11. 2 Consider the function f(x) = 2x¹ + 7x³ + 3x² a. b. C. d. e. 8x - 4. [18 marks total] Use the Factor Theorem and Synthetic Division to find the x-intercepts of f(x). Show all your work here. [6 marks] State the order of each x-intercept. [3 marks] State the y-intercept. [1 mark] Use the degree and the leading coefficient to determine the end behaviours. You may use either a rough sketch to illustrate the end behaviours, or the terminology Qinitial →Qfinal, as explained in Question 9. [1 mark] Use the information from parts a- d to sketch f(x) on the grid provided below. [7 marks] -