asymptote

Speech parts

1. asymptote - Noun

2. asymptote - Verb

Meaning

A line which approaches nearer to some curve than assignable distance, but, though infinitely extended, would never meet it. Asymptotes may be straight lines or curves. A rectilinear asymptote may be conceived as a tangent to the curve at an infinite distance.

Synonyms

Antonyms

Hypernyms

Examples

the asymptote of the curve Source: Internet

Also, y → ∞ as t → 0 from the right, and the distance between the curve and the y-axis is t which approaches 0 as t → 0. So the y-axis is also an asymptote. Source: Internet

For example, the parent function has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote,and occupies either the 1st and 3rd or 2nd and 4th quadrant. Source: Internet

Asymptotes for rational functions A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes. Source: Internet

Functions may lack horizontal asymptotes on either or both sides, or may have one horizontal asymptote that is the same in both directions. Source: Internet

Green: difference between the graph and its asymptote for When the numerator of a rational function has degree exactly one greater than the denominator, the function has an oblique (slant) asymptote. Source: Internet

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