1 / 55

Section 4.1 Polynomial Functions and Models

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.

larue
Download Presentation

Section 4.1 Polynomial Functions and Models

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 4.1 Polynomial Functions and Models

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

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

  4. 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.

  5. y = 4(x - 2)

  6. y = 4(x - 2)

  7. Figure 16 (a)

  8. Figure 16 (b)

  9. Figure 16 (c)

  10. Figure 16 (d)

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

  12. Figure 22

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

More Related