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- 1. Section 3.5 Rational Functions and Their Graphs
- 2. Rational Functions
- 4. Example Find the domain of the rational function.
- 5. Example Find the domain of the rational function.
- 6. Vertical Asymptotes of Rational Functions
- 11. Two Graphs with Vertical Asymptotes, one without
- 12. Graphing Calculator Connected mode Dot Mode
- 13. Example Find the vertical asymptote, if any, of the graph of the rational function.
- 14. Example Find the vertical asymptote, if any, of the graph of the rational function.
- 15. Example Find the vertical asymptote, if any, of the graph of the rational function.
- 16. A graph with a hole corresponding to the denominator’s zero. Your calculator will not show the hole.
- 17. Horizontal Asymptotes of Rational Functions
- 19. Two Graphs with Horizontal Asymptotes, one without Notice how the horizontal asymptote intersects the graph.
- 20. Example Find the horizontal asymptote, if any, of the graph of the rational function.
- 21. Example Find the horizontal asymptote, if any, of the graph of the rational function.
- 22. Using Transformations to Graph Rational Functions
- 23. Graphs of Common Rational Functions
- 24. Transformations of Rational Functions
- 25. Example
- 26. Example
- 27. Graphing Rational Functions
- 29. Example
- 30. Example
- 31. Slant Asymptotes
- 33. Example
- 34. Example
- 35. Applications
- 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.
- 38. (a) (b) (c) (d)
- 39. (a) (b) (c) (d)
- 40. (a) (b) (c) (d)

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