Difference between revisions of "Asymptotes"
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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 17:25, 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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