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# Section 4.1 Polynomial Functions and Models - PowerPoint PPT Presentation

Section 4.1 Polynomial Functions and Models. Summary of the Properties of the Graphs of Polynomial Functions. Find a polynomial of degree 3 whose zeros are -4, -2, and 3. Use a graphing utility to verify your result. For the polynomial, list all zeros and their multiplicities.

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Polynomial Functions and Models

Use a graphing utility to verify your result.

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.

y Functions = 4(x - 2)

y Functions = 4(x - 2)

Figure 16 (a) Functions

Figure 16 (b) Functions

Figure 16 (c) Functions

Figure 16 (d) Functions

Figure 22 times.

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

Table 8

Table 8