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In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity.

Asymptote - Math is Fun


Asymptote. A line that a curve approaches, as it heads towards infinity: Asymptote . Types. There are three types: horizontal, vertical and oblique: Asymptote ...

Asymptotes: Examples - Purplemath


Uses worked examples to demonstrate how to recognize and find vertical, horizontal, and slant asymptotes, along with the domain of a function.

Asymptote -- from Wolfram MathWorld


An asymptote is a line or curve that approaches a given curve arbitrarily closely, ... Wolfram Web Resource. http://mathworld.wolfram.com/Asymptote.html ...

Finding Horizontal Asymptotes of Rational Functions - Soft Schools


Remember that an asymptote is a line that the graph of a function approaches but never touches. Rational functions contain asymptotes, as seen in this example ...

Vertical Asymptotes - Cool Math


This algebra lesson explains how to find the vertical asymptotes when graphing rational functions.

Graphing rational functions 3 - Khan Academy


Graphing rational functions according to asymptotes · Graphs of rational functions : y-intercept · Graphs of rational functions: horizontal asymptote · Graphs of ...

Asymptotes - Free Math Help


Asymptotes. An asymptote is, essentially, a line that a graph approaches, but does not intersect. For example, in the following graph of y = 1 x , the line ...

Finding Horizontal Asymptotes - Free Math Help


Horizontal asymptotes are approached by the curve of a function as x goes towards infinity. Calculate their value algebraically and see graphical examples with ...

SparkNotes: Special Graphs: Asymptotes and Holes


If a graph has a horizontal asymptote of y = k , then part of the graph approaches the line y = k without touching it-- y is almost equal to k , but y is never exactly ...

a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity.
Source: Dictionary.com
asymptote | Define asymptote at Dictionary.com
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