Asymptote

usgb/ˈeɪsɪmˌtoʊt/
Noun

A line that a curve approaches as it heads towards infinity, but never touches.

In algebra, the graph of a rational function can have vertical and horizontal asymptotes.
Visual representation of "asymptote" - A line that a curve approaches as it heads towards infinity, but never touches.

Often appears as...

  • approaches the asymptote
  • asymptote of a curve

Usage tips

Neutral

mathematical asymptote, horizontal asymptote, vertical asymptote

Definition 1 of 1
Visual representation of "asymptote"
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Mathematics Context

In math, asymptotes are used to describe the behavior of curves near certain values.

Illustration for Mathematics Context
The function approaches the asymptote as the value increases.
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Metaphorical Use

The word can be metaphorically used to represent unattainable goals.

Illustration for Metaphorical Use
Her ambitions seemed like an asymptote, something she could never truly reach.
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Visual Representation

Understanding asymptotes visually helps comprehend their importance in graphing.

Illustration for Visual Representation
Draw the curve to see where it gets close to an asymptote.
Visual representation of the word "Asymptote"

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