Answer
The horizontal asymptote is $y=0$
Work Step by Step
Given
$$
y=a b^t,\ b> 1
$$
As $t$ approaches $-\infty$, the value of $a b^t$ approaches zero for any $a$, so the horizontal asymptote is $y=0$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 4 - Exponential Functions - 4.3 Graphs of Exponential Functions - Exercises and Problems for Section 4.3 - Exercises and Problems - Page 162: 29
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