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Transcript of "3"

1. 1. Section 3.5 Rational Functions and Their Graphs
2. 2. Rational Functions
3. 4. Example Find the domain of the rational function.
4. 5. Example Find the domain of the rational function.
5. 6. Vertical Asymptotes of Rational Functions
6. 11. Two Graphs with Vertical Asymptotes, one without
7. 12. Graphing Calculator Connected mode Dot Mode
8. 13. Example Find the vertical asymptote, if any, of the graph of the rational function.
9. 14. Example Find the vertical asymptote, if any, of the graph of the rational function.
10. 15. Example Find the vertical asymptote, if any, of the graph of the rational function.
11. 16. A graph with a hole corresponding to the denominator’s zero. Your calculator will not show the hole.
12. 17. Horizontal Asymptotes of Rational Functions
13. 19. Two Graphs with Horizontal Asymptotes, one without Notice how the horizontal asymptote intersects the graph.
14. 20. Example Find the horizontal asymptote, if any, of the graph of the rational function.
15. 21. Example Find the horizontal asymptote, if any, of the graph of the rational function.
16. 22. Using Transformations to Graph Rational Functions
17. 23. Graphs of Common Rational Functions
18. 24. Transformations of Rational Functions
19. 25. Example
20. 26. Example
21. 27. Graphing Rational Functions
22. 29. Example
23. 30. Example
24. 31. Slant Asymptotes
25. 33. Example
26. 34. Example
27. 35. Applications
28. 37. Example The Fort Myers Fishing Company discovered a better material for making fishing reels. The fixed monthly cost is \$10,000 for the cost of rental of space, manufacturing equipment, as well as wages and benefits for it’s employees. It costs \$10 for materials to make each fishing reel.
29. 38. (a) (b) (c) (d)
30. 39. (a) (b) (c) (d)
31. 40. (a) (b) (c) (d)
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