1. Rational Functions
Algebra

2. Rational Functions

3. Rational Functions

4. Example

5. Example

6. Discontinuity – A value on a graph where the original function is not defined
Rational Functions

7. Asymptote – Vertical line on a graph that a function approaches but never crosses
Rational Functions

8. Rational Functions

9. Point Discontinuity – A point on a graph where the original function is not defined, like a hole.
Rational Functions

12. Rational Functions - Practice

13. Rational Graphs

14. Rational Functions

15. Rational Functions

16. Rational Functions

17. Rational Functions

18. Rational Functions

19. Rational Functions

20. Rational Functions

21. Graphing Rationals

22. Graphing Rationals

23. Rational Functions

24. Rational Functions

25. Rational Functions

26. Rational Functions

27. Rational Functions

28. Rational Functions

29. Rational Functions

30. Rational Functions

31. Rational Functions

32. Graphing Rationals Process summary
Identify any vertical asymptotes (dash line on graph)
Identify any horizontal asymptotes (end behavior on graph)
Pick point to plot as necessary
Smooth line on graph
Add holes for any factors that cancelled
Graphing Rationals

33. Graphing Rationals

34. Graphing Rationals

35. Graphing Rationals

36. Graphing Rationals

37. Graphing Rationals

38. Graphing Rationals

39. Pages 597 – 599
18 – 30 even, 36, 40, 45, 51, 59
Graphing Rationals