1. Polynomial Functions and Models
Section 5.1
Polynomial Functions and Models

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

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

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

22. 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.

23. Try it on your own
Find a polynomial of degree 4 whose zeros are -2, -1 with a multiplicity of 2, and 1.
Use a graphing utility to verify your result.

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

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

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

28. Quick Recap

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

45. 5.1 Pg 338; (by 3’s), (by 5’s)

50. The domain and the range of f are the set of all real numbers.

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

54. Cubic function of best fit:

55. Cubic function of best fit: