# Difference between revisions of "Asymptotes"

(Created page with "An asymptote is a line that a curve approaches as it moves closer to infinity. Very commonly the asymptotes of a graph are the <math>x</math> and <math>y</math> axes. There are ...") |
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The distance between a curve and an asymptote approaches <math>0</math> as they head towards infinity. The graph of a horizontal asymptote is given as <math>x = a</math>, while the graph of a vertical asymptote is given as <math>y = b</math>. Oblique asymptotes are given by the slope-intercept equation, <math>y = mx + b</math>. | The distance between a curve and an asymptote approaches <math>0</math> as they head towards infinity. The graph of a horizontal asymptote is given as <math>x = a</math>, while the graph of a vertical asymptote is given as <math>y = b</math>. Oblique asymptotes are given by the slope-intercept equation, <math>y = mx + b</math>. | ||

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## Revision as of 16:25, 8 March 2014

An asymptote is a line that a curve approaches as it moves closer to infinity. Very commonly the asymptotes of a graph are the and axes.

There are three types of asymptotes: horizontal, vertical, and oblique. The x-axis is a horizontal asymptote, the y-axis is a vertical one, while oblique asymptotes are basically diagonal lines in a plane.

The distance between a curve and an asymptote approaches as they head towards infinity. The graph of a horizontal asymptote is given as , while the graph of a vertical asymptote is given as . Oblique asymptotes are given by the slope-intercept equation, .
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