Answer
$C$
Work Step by Step
$C$ does not have a horizontal asymptote because $f(x)=\frac{x^2-9}{x+3}=x-3,\ (x\ne-3)$ and it has a hole at $(-3,-5)$.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 376: 52
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