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CEFR C1 — Advanced

Asymptote

Definition

(formal) A line that a curve approaches but never touches, often used to describe the behavior of a function as the input or independent variable approaches a certain value.

Example Sentences

1The asymptote of the curve is a horizontal line that the function approaches as x tends to infinity.
2Can you identify the vertical asymptote in the graph of this rational function?
3The asymptote of the logarithmic function is a vertical line that the curve approaches as x approaches zero.
4To find the horizontal asymptote, we need to examine the behavior of the function as x approaches positive or negative infinity.
5In calculus, the concept of an asymptote is crucial in understanding the limits and behavior of functions.

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