This document provides 28 examples of graphs of different types of rational functions. The rational functions shown include those of the form y=1/x, y=-1/x, y=(x+a)/(x+b), and others with variations in the numerator and denominator polynomials. Each example graphically depicts a different rational function to illustrate their key characteristics and behaviors.

1. Graphs of Rational Functions

2. Overview
This set of tutorials provides 28 examples
of graphs of rational functions.

3. Example 1: The graph of a rational function of the form y = 1/x.

4. Example 2: The graph of a rational function of the form y = -1/x.

5. Example 3: The graph of a rational function of the form y = 1/(x +
c).

6. Example 4: The graph of a rational function of the form y = 1/(x - c).

7. Example 5: The graph of a rational function of the form y = 1/(cx +
d).

8. Example 6: The graph of a rational function of the form y = -1/(cx +
d).

9. Example 7: The graph of a rational function of the form y = 1/(cx -
d).

10. Example 8: The graph of a rational function of the form y = 1/(-cx +
d).

11. Example 9: The graph of a rational function of the form y = (x + a)/
(x + b).

12. Example 10: The graph of a rational function of the form y = (x - a)/
(x + b).

13. Example 11: The graph of a rational function of the form y = (x - a)/
(x - b).

14. Example 12: The graph of a rational function of the form y = (x + a)/
[(x + b)(x + c)].

15. Example 13: The graph of a rational function of the form y = (x - a)/
[(x + b)(x + c)].

16. Example 14: The graph of a rational function of the form y = (x + a)/
[(x - b)(x + c)].

17. Example 15: The graph of a rational function of the form y = (x + a)/
[(x + b)(x - c)].

18. Example 16: The graph of a rational function of the form y = (x - a)/
[(x - b)(x + c)].

19. Example 17: The graph of a rational function of the form y = (x - a)/
[(x + b)(x - c)].

20. Example 18: The graph of a rational function of the form y = (x - a)/
[(x - b)(x - c)].

21. Example 19: The graph of a rational function of the form y = -(x +
a)/(x + b).

22. Example 20: The graph of a rational function of the form y = -(x -
a)/(x + b).

23. Example 21: The graph of a rational function of the form y = -(x -
a)/(x - b).

24. Example 22: The graph of a rational function of the form y = -(x +
a)/[(x + b)(x + c)].

25. Example 23: The graph of a rational function of the form y = -(x -
a)/[(x + b)(x + c)].

26. Example 24: The graph of a rational function of the form y = -(x +
a)/[(x - b)(x + c)].

27. Example 25: The graph of a rational function of the form y = -(x +
a)/[(x + b)(x - c)].

28. Example 26: The graph of a rational function of the form y = -(x -
a)/[(x - b)(x + c)].

29. Example 27: The graph of a rational function of the form y = -(x -
a)/[(x + b)(x - c)].

30. Example 28: The graph of a rational function of the form y = (x - a)/
[(x - b)(x - c)].