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Vertical and Horizontal Asymptotes of Rational Functions

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More Lessons for PreCalculus
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Examples, videos, worksheets, solutions, and activities to help PreCalculus students learn about vertical and horizontal asymptotes of rational functions.

An introduction to rational functions, the reciprocal function, and vertical and horizontal asymptotes.
Vertical and horizontal asymptotes of rational functions
In this example, we find the three vertical asymptotes of a rational function, as well as its horizontal asymptote.

Finding asymptotes of rational functions
In this example, we find the vertical and horizontal asymptotes of a rational function.
Rational Functions of the Form (ax + b) over (cx + d)
This video demonstrates an example of graphing a rational function of the form f(x) = (ax + b)/(cx + d) or linear over linear. The graph is drawn using the key features of the rational function.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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