Asymptote (Noun)
Meaning
A straight line that is the limiting value of a curve; can be considered as tangent at infinity; "the asymptote of the curve".
Classification
Nouns denoting two and three dimensional shapes.
Examples
- The graph of the function had two asymtotes, a horizontal one and a vertical one, which bounded its behavior as x approached infinity.
- In calculus, an asymptote is often used to describe the behavior of a function as it approaches a certain value.
- The asymptote of the curve was almost imperceptible on the graph, requiring a high level of zoom to distinguish.
- The vertical asymptote at x=0 represented a point where the function was undefined.
- As x approached positive infinity, the function's asymptote became closer and closer to the horizontal line y=2.