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MHF40 Lesson 11 Assignment In this assignment you are going to explore the characteristics of polynomials functions. Part A: Finding the Answer In this section,
MHF40 Lesson 11 Assignment In this assignment you are going to explore the characteristics of polynomials functions. Part A: Finding the Answer In this section, you are going to use the clues provided for you in the lesson to answer these questions For each question, answer the question giving the clues that you used in determining your answer. You will be given three marks - two marks for your correct clues and one mark for the correct answer. Identify the choice that best completes the statement or answers the question. 1. An equation representing a function that extends from quadrant 3 to quadrant 1 is a. y=x c. y = 2x b. y=-2x d. y=-5x4 2. An equation representing a function that extends from quadrant 2 to quadrant 4 is a. y=x C. y = 2x b. y=-2rs d. y=-5.x 3. An equation representing a function that extends from quadrant 3 to quadrant 4 is a. y=x+ 7x-1 c. y = 2x - 4x b. y=-2r+x-1 d. y=-5x4 - 2x2 - 1 4. The degree of the polynomial function y = x3 - 2x + 5x - 1 is a. * W C. d.The graph of the polynomial function y = 2x{x 1)*(x 2) extends from a. quadrant 3 to quadrant | . quadrant 2 to quadrant | b. quadrant 3 to quadrant 4 d. quadrant 2 to quadrant 4 The graph of the polynomial function y = (1 x){x 2)* extends from a. quadrant 2 to quadrant 1 . quadrant 3 to quadrant 1 b. quadrant 2 to quadrant 4 d. quadrant 3 to quadrant 4 Which of the following graphs most likely represents a polynomial function? a y=x(x+2)x-3) e y=-3x1)x+2)x-3) 9. An equation for a quartic function with zeros 4, 5, and 6 that passes through the point (7, 18) is a. y= (x-6) (x -4)(x-5) c. y= (x-4)(x - 5)(x - 6) b. y= (x-4)(x -5)(x -6) y = - (x-4)(x-5)- (x-6)2 10. The least possible degree of the polynomial function represented by the graph shown is a. b. 3 d. 5 11. The least possible degree of the polynomial function represented by the graph shown is12. An equation for the graph shown is 4 a. y= x(x -3) c. y= x(x- 3) b. y= x(x -3)3 d. y=x(x -3)3 13. The graph of the function y =-2(x - 1)(x + 1) would most closely resemble C. d.14. The graph of the function y = x(x - 1)'(x + 2) would most closely resemble a. C. b. d. 15. Which of the following graphs represents the function y = 2x" - 3x* + 1? a. C. b. d.\f18. Which of the following graphs represents the function y = 2x'- 3x* + 1? b. d. Matching Match these equations with the pictures. Give the strategy that you used to make your decisions in the box provided. a. x' +4x - 5 f. 2x5 + 7x1 -3x3 - 18x7 +5 b. 3x - 4x3 - 4x2 + 5x + 5 g. 5x5 - 5x4 - 2x 3 +4 x2 - 3x c. x* - 2x h. 2x3 +4x2 - 3x - 1 d. -x4 - 2x3 + x2 + 2x i. x4 + 2x3 - 3x - 1 e. 2x6 - 12x* +18x2 + x-10 15 10 -6 4 -2 2 19.\f\f
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