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.

9. Figure 3

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

12. Figure 6

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

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

21. 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.

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

27. y = 4(x - 2)

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

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

31. Figure 16 (a)

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

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

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

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

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

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

51. Figure 22

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

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

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

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

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