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: 128

Answer

Makes sense

Work Step by Step

Makes sense because, 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. The vertical asymptote happens at $x$ which makes the denominator of the rational function equal to $0$. Since a polynomial function can have three zeros, the rational function can have three vertical asymptotes.
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