1. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 5.1 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

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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. The x-intercepts are (0, 0) and (3, 0) The y-intercept is (0, 0)

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

26. Odd Degree Even Degree

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

28. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Touches Crosses

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42. The y-intercept is (0,9). The x-intercepts are (-1/2, 0) and (3, 0).

43. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. The polynomial is degree 3 so the graph can turn at most 2 times.

44. Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Step 5: Put all the information From Steps 1 through 4 together To obtain the graph of f.

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46. The y-intercept is (0, 0). The x-intercepts are (0, 0), (4, 0) and (-1,0).

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