5. 14. Which function is decreasing on the interval (0,) and has a horizontal asymptote at y=-1? A. √(x)=(-)** *(x) = (-)- B. C. f(x)=3-1 D. √(x)=-³-1 x *Show/Illustrate/Explain all work that leads to your answer using your understanding of bases of exponents and how they influence the direction of a graph as well as what component of an exponential function determines the horizontal asymptote. You may not use a graphing calculator on this question*
5. 14. Which function is decreasing on the interval (0,) and has a horizontal asymptote at y=-1? A. √(x)=(-)** *(x) = (-)- B. C. f(x)=3-1 D. √(x)=-³-1 x *Show/Illustrate/Explain all work that leads to your answer using your understanding of bases of exponents and how they influence the direction of a graph as well as what component of an exponential function determines the horizontal asymptote. You may not use a graphing calculator on this question*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:5.
14. Which function is decreasing on the interval
(0,) and has a horizontal asymptote at
y=-1?
A. √(x)=(-)**
f(x) = (-)-
C. f(x)=3-1
D. f(x)=-3-1
x
B.
*Show/Illustrate/Explain all work that
leads to your answer using your
understanding of bases of exponents
and how they influence the direction
of a graph as well as what component
of an exponential function determines
the horizontal asymptote. You may
not use a graphing calculator on this
question*
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