Chapter 3. Polynomial and Rational Functions. 3.2 Polynomial Functions and Their Graphs презентация
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- 2. Objectives: Identify polynomial functions. Recognize characteristics of graphs of polynomial functions.
- 3. Definition of a Polynomial Function Let n be a nonnegative integer
- 4. Graphs of Polynomial Functions – Smooth and Continuous Polynomial functions of
- 5. End Behavior of Polynomial Functions The end behavior of the graph
- 6. The Leading Coefficient Test As x increases or decreases without bound,
- 7. The Leading Coefficient Test for (continued)
- 8. Example: Using the Leading Coefficient Test Use the Leading Coefficient Test
- 9. Zeros of Polynomial Functions If f is a polynomial function, then
- 10. Example: Finding Zeros of a Polynomial Function Find all zeros of
- 11. Example: Finding Zeros of a Polynomial Function (continued) Find all
- 12. Multiplicity and x-Intercepts If r is a zero of even multiplicity,
- 13. Example: Finding Zeros and Their Multiplicities Find the zeros of
- 14. Example: Finding Zeros and Their Multiplicities (continued) We find the
- 15. Example: Finding Zeros and Their Multiplicities (continued) For the function
- 16. The Intermediate Value Theorem Let f be a polynomial function with
- 17. Example: Using the Intermediate Value Theorem Show that the polynomial function
- 18. Example: Using the Intermediate Value Theorem (continued) For
- 19. Turning Points of Polynomial Functions In general, if f is a
- 20. A Strategy for Graphing Polynomial Functions
- 21. Example: Graphing a Polynomial Function Use the five-step strategy to graph
- 22. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 23. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 24. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 25. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 26. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 27. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
- 28. Example: Graphing a Polynomial Function (continued) Use the five-step strategy
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