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Vertical and Horizontal Asymptotes of Rational Functions

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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.

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