College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 410: 129

Answer

Makes sense

Work Step by Step

A rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. A vertical asymptote has the form $x=k$ where $k$ is a zero pf the denominator. Dividing by zero is impossible. The rational function is not defined for the values of $x$ that make the denominator equal to $0$. Therefore, the graph of the rational function can never cross a vertical asymptote. The given statement makes sense.
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