IN MATH: 1. n. a curve which is approached but never "reached" by a graph.
IN ENGLISH: 1. as defined above.
|EX. 1: The graph of the reciprocal function, 1/x, has a vertical asymptote of x = 0 and a horizontal asymptote of y= 0.|
|EX. 2: This rational function also has vertical and horizontal asymptotes. The vertical asymptote is at x = 2 and there is a horizontal asymptote at y = 4.|
|EX. 3: This rational function also has a vertical asymptote at x = 2, but it has an oblique line asymptote at y = - x + 4.|
|EX. 4: This rational function also has a vertical asymptote at x = 2, but it has a quadratic asymptote at y = - x² + 4.|
APPLICATION: See list 230.
This is a page from the dictionary MATH SPOKEN HERE!, published in 1995 by MATHEMATICAL CONCEPTS, inc., ISBN: 0-9623593-5-1. You are hereby granted permission to make ONE printed copy of this page and its picture(s) for your PERSONAL and not-for-profit use.