College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding: 10

Answer

Rational functions can never intersect vertical asymptotes.

Work Step by Step

Vertical asymptotes will occur when the value of the denominator is equal to zero. Because we cannot divide by 0, the value of the function will always be undefined at the vertical asymptote. Consequently, it would not make sense for a function to cross the vertical asymptote, for the function is undefined for this value of x.
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