What is asymptote mean?

: a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.

Is asymptote a word?

An asymptote is a straight line, but specifically one that approaches or nears a curve but never meets it. The noun asymptote has been a geometry term since the 1600’s, and it comes from the Greek root asymptotos, or “not falling together,” which combines a, “not,” syn, “with,” and ptotos, “fallen.”

What is the origin of the word asymptote?

In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity. The word asymptote is derived from the Greek ἀσύμπτωτος (asumptōtos) which means “not falling together”, from ἀ priv. + σύν “together” + πτωτ-ός “fallen”.

What is the dictionary definition of actually?

as an actual or existing fact; really.

What does an asymptote mean?

Definition of asymptote. : a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the slope of the line.

What type of function has an asymptote?

Rational functions have vertical asymptotes if, after reducing the ratio the denominator can be made zero. All of the trigonometric functions except sine and cosine have vertical asymptotes. Logarithmic functions have vertical asymptotes. Those are the kinds students in calculus classes are most likely to encounter.

What is asymptote in math?

In analytic geometry, an asymptote (/ˈæsɪmptoʊt/) of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.

What is an oblique asymptote?

Answer Wiki. An oblique asymptote is a line (y = ax + b) that is neither horizontal or vertical that the graph of a function gets very close to as x goes to infinity or negative infinity (think about why an oblique asymptote can’t be ‘bounded’ horizontally).