1. Polynomial Functions and Models
Section 4.1
Polynomial Functions and Models
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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.
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21. For the polynomial, list all zeros and their multiplicities.
2 is a zero of multiplicity 2 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.
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27. y = 4(x - 2)
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28. y = 4(x - 2)
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44. The polynomial is degree 3 so the graph can turn at most 2 times.
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52. The domain and the range of f are the set of all real numbers.
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56. A cubic relation may exist between the two variables.
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57. Cubic function of best fit:
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58. Cubic function of best fit:
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