1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 4.1 Polynomial Functions and Models

2. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

5. Summary of the Properties of the Graphs of Polynomial Functions

6. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

18. Find a polynomial of degree 3 whose zeros are -4, -2, and 3. Use a graphing utility to verify your result.

19. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. For the polynomial, list all zeros and their multiplicities. 2 is a zero of multiplicity 1 because the exponent on the factor x – 2 is 1. –1 is a zero of multiplicity 3 because the exponent on the factor x + 1 is 3. 3 is a zero of multiplicity 4 because the exponent on the factor x – 3 is 4.

20. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

25. y = 4(x - 2)

26. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. y = 4(x - 2)

27. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

29. Figure 16 (a)

30. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Figure 16 (b)

31. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Figure 16 (c)

32. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Figure 16 (d)

33. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

41. The polynomial is degree 3 so the graph can turn at most 2 times.

42. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

48. Figure 22

49. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The domain and the range of f are the set of all real numbers.

50. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

53. A cubic relation may exist between the two variables. Table 8

54. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Cubic function of best fit: Table 8

55. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Cubic function of best fit: