Which ones of the following statements are true? y = 1 is the horizontal asymptote of y = f(x) = e²-₁₁ □y = f(x) = has two horizontal asymptotes y = 1 and y = -1. y = arctan (2) has two horizontal asymptotes y = and y = -₁. If y = f(x) has a horizontal asymptote y = 1, then for every in the domain f(x) ‡ 1. -13 Oy = f(x) = √81x² + 13x + 9x has a unique horizontal asymptote y = 18 0 x = 9 and x = -9 are vertical asymptotes of y = f(x) = €₂²-81.
Which ones of the following statements are true? y = 1 is the horizontal asymptote of y = f(x) = e²-₁₁ □y = f(x) = has two horizontal asymptotes y = 1 and y = -1. y = arctan (2) has two horizontal asymptotes y = and y = -₁. If y = f(x) has a horizontal asymptote y = 1, then for every in the domain f(x) ‡ 1. -13 Oy = f(x) = √81x² + 13x + 9x has a unique horizontal asymptote y = 18 0 x = 9 and x = -9 are vertical asymptotes of y = f(x) = €₂²-81.
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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Which five statements are true?

Transcribed Image Text:Which ones of the following statements are true?
y = 1 is the horizontal asymptote of y = f(x) = €2²-81.
Z
Oy=f(x):
=
has two horizontal asymptotes y
1 and y = -1.
y = arctan(x) has two horizontal asymptotes y = and y
If y = f(x) has a horizontal asymptote y = 1, then for every x in the domain f(x) ‡ 1.
Oy = f(x) = √81x² + 13x + 9x has a unique horizontal asymptote y =
18
x = 9 and x = - -9 are vertical asymptotes of y = f(x) = €2²-81.
-13
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