Asymptotes
Akopọ
An asymptote is a line that a graph gets ever closer to but never quite touches. Spotting asymptotes tells you how a function behaves at its extremes and where it is undefined, which is essential for sketching curves like reciprocals.
In this lesson you will understand the concept of an asymptote and identify simple examples that are parallel to the axes.
Awọn Afojusun
- Understand the concept of asymptotes and identify simple examples parallel to the axes on a graph.
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- An asymptote is a line that a curve: A. crosses once B. approaches but never touches C. is tangent to D. is parallel to always Answer: B
- The graph of y = 1/x has a vertical asymptote at: A. y = 0 B. x = 0 C. x = 1 D. y = 1 Answer: B
- The graph of y = 1/x has a horizontal asymptote at: A. x = 0 B. y = 0 C. y = 1 D. x = 1 Answer: B
- A vertical asymptote often occurs where the function is: A. zero B. maximum C. undefined D. negative Answer: C
- Simple asymptotes in this topic are: A. parallel to the axes B. diagonal C. curved D. always through the origin Answer: A
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Ẹ̀kọ́ síwájú láti àwọn orísun ṣíṣí
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Abala ìwé ẹ̀kọ́
Rational Functions
Use arrow notation.
"Algebra and Trigonometry: Rational Functions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/5-6-rational-functions. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
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