Pronunciation: /ˈæsɪmptoʊt/
noun a straight line that a curve approaches but never crosses or touches
A1 An asymptote is a line that a curve approaches but never touches.
A2 In mathematics, an asymptote is a straight line that a curve gets closer and closer to but never reaches.
B1 Understanding asymptotes is essential when graphing functions in algebra.
B2 Advanced calculus involves analyzing functions and their asymptotes.
C1 The concept of asymptotes becomes more intricate when dealing with complex mathematical functions.
C2 In higher-level mathematics, mathematicians study the behavior of functions near their asymptotes.
verb not applicable
A1 The line on the graph asymptotes towards the x-axis.
A2 The company's profits are asymptoting towards zero.
B1 Her confidence is asymptoting as she gains more experience.
B2 The population growth is asymptoting as resources become scarce.
C1 The country's economic growth is asymptoting due to political instability.
C2 The artist's popularity is asymptoting as their work gains international recognition.
adjective not applicable
A1 The graph of the function approaches the vertical asymptote.
A2 In mathematics, an asymptote is a line that a curve approaches.
B1 The student studied the concept of asymptotes in their calculus class.
B2 The scientist used asymptotic analysis to study the behavior of the system.
C1 The engineer applied asymptotic methods to analyze the stability of the structure.
C2 The researcher's work on asymptotic theory revolutionized the field of mathematics.
adverb not applicable
A1 The graph of the function approaches the y-axis asymptotically.
A2 The line never actually touches the curve, but gets infinitely close to it, acting as an asymptote.
B1 The function has a horizontal asymptote at y=0.
B2 Asymptotically, the function behaves like a polynomial of degree 2.
C1 In calculus, understanding the concept of asymptotes is crucial for analyzing functions.
C2 The curve approaches the vertical asymptote as x approaches infinity.
pronoun not applicable
A1 An asymptote is a line that a curve approaches but never touches.
A2 Asymptotes are used in mathematics to describe the behavior of functions.
B1 The graph of the function has an asymptote at x = 2.
B2 Asymptotes can be vertical, horizontal, or slant.
C1 Understanding asymptotes is crucial in analyzing the behavior of functions.
C2 Asymptotes play a significant role in the study of calculus and advanced mathematics.
preposition not applicable
A1 The line approached the curve asymptote.
A2 The function never touches the asymptote.
B1 The graph of the function tends towards the asymptote.
B2 The asymptote serves as a boundary for the graph.
C1 The function's behavior near the asymptote is well understood.
C2 Mathematicians study the behavior of functions around asymptotes.
conjunction not applicable
A1 An asymptote is a line that a curve approaches but never touches.
A2 The graph of the function has an asymptote at x = 0.
B1 Asymptotes are used in mathematics to describe the behavior of functions at infinity.
B2 The function has a vertical asymptote at x = 2 and a horizontal asymptote at y = 3.
C1 Asymptotes play a crucial role in the analysis of functions and their limits.
C2 The concept of asymptotes becomes more intricate when dealing with complex functions in advanced mathematics.
interjection not applicable
A1 Asymptote! I almost reached the finish line.
A2 I tried to solve the math problem, but the graph kept approaching the asymptote.
B1 Asymptote! This curve seems to be getting closer and closer to the line.
B2 Asymptote! The function is approaching a limit but never quite reaching it.
C1 Asymptote! The graph of the function displays an interesting behavior near infinity.
C2 Asymptote! The mathematician marveled at the beauty of the curve approaching but never touching the line.
article not applicable
A1 An asymptote is a line that a curve approaches but never touches.
A2 In mathematics, an asymptote is a straight line that a curve gets closer and closer to but never touches.
B1 Understanding the concept of asymptotes is essential in analyzing the behavior of mathematical functions.
B2 When graphing functions, it is important to identify any asymptotes present in order to accurately represent the function.
C1 Advanced calculus students are able to calculate the equations of asymptotes for complex functions.
C2 The study of asymptotes plays a crucial role in the field of differential equations and advanced mathematical analysis.
formal The curve approaches the asymptote but never actually touches it.
informal The line gets really close to the asymptote but doesn't quite reach it.
slang The graph is like, almost touching the asymptote but not really.
figurative Their relationship was like an asymptote, always getting close but never quite connecting.
approached
asymptotes
more asymptotic
most asymptotic
approaches
will approach
has approached
is approaching
asymptote
asymptotic
to approach
approaching
approaching