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Graphs of Rational Functions
Overview
This set of tutorials provides 28 examples
of graphs of rational functions.
Example 1: The graph of a rational function of the form y = 1/x.
Example 2: The graph of a rational function of the form y = -1/x.
Example 3: The graph of a rational function of the form y = 1/(x +
c).
Example 4: The graph of a rational function of the form y = 1/(x - c).
Example 5: The graph of a rational function of the form y = 1/(cx +
d).
Example 6: The graph of a rational function of the form y = -1/(cx +
d).
Example 7: The graph of a rational function of the form y = 1/(cx -
d).
Example 8: The graph of a rational function of the form y = 1/(-cx +
d).
Example 9: The graph of a rational function of the form y = (x + a)/
(x + b).
Example 10: The graph of a rational function of the form y = (x - a)/
(x + b).
Example 11: The graph of a rational function of the form y = (x - a)/
(x - b).
Example 12: The graph of a rational function of the form y = (x + a)/
[(x + b)(x + c)].
Example 13: The graph of a rational function of the form y = (x - a)/
[(x + b)(x + c)].
Example 14: The graph of a rational function of the form y = (x + a)/
[(x - b)(x + c)].
Example 15: The graph of a rational function of the form y = (x + a)/
[(x + b)(x - c)].
Example 16: The graph of a rational function of the form y = (x - a)/
[(x - b)(x + c)].
Example 17: The graph of a rational function of the form y = (x - a)/
[(x + b)(x - c)].
Example 18: The graph of a rational function of the form y = (x - a)/
[(x - b)(x - c)].
Example 19: The graph of a rational function of the form y = -(x +
a)/(x + b).
Example 20: The graph of a rational function of the form y = -(x -
a)/(x + b).
Example 21: The graph of a rational function of the form y = -(x -
a)/(x - b).
Example 22: The graph of a rational function of the form y = -(x +
a)/[(x + b)(x + c)].
Example 23: The graph of a rational function of the form y = -(x -
a)/[(x + b)(x + c)].
Example 24: The graph of a rational function of the form y = -(x +
a)/[(x - b)(x + c)].
Example 25: The graph of a rational function of the form y = -(x +
a)/[(x + b)(x - c)].
Example 26: The graph of a rational function of the form y = -(x -
a)/[(x - b)(x + c)].
Example 27: The graph of a rational function of the form y = -(x -
a)/[(x + b)(x - c)].
Example 28: The graph of a rational function of the form y = (x - a)/
[(x - b)(x - c)].

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Tutorials--Graphs of Rational Functions

  • 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)].