What is an Asymptote?
An asymptote is a line being approached by a curve but never touching the curve. Curve and its asymptote have a unique relationship where they travel parallel to one another yet never cross at any point other than infinity. In addition, although they run closely together, they are still apart from each other. There are three kinds of asymptotes, namely horizontal asymptotes, vertical asymptotes, and oblique asymptotes.
Asymptote Formula
In geometry, an asymptote is a straight line that approaches a curve on the graph and tends to meet the curve at infinity. An asymptote is a line that a graph of a function approaches but never touches or crosses as it extends towards infinity or a specific point. Asymptotes help to describe the behaviour of functions, particularly their end behaviour and behaviour near undefined points.
In this article, we have covered the asymptote definition, types, formulas, examples and others in detail.
Table of Content
- What is an Asymptote?
- Types of Asymptotes
- Asymptote Formula
- Asymptotes of Hyperbola
- Difference Between Horizontal and Vertical Asymptotes
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