Consider the following rational functions.x3 + 4x² + 4xx³ + 27s(x) =x²+ 4x3 - 9xt(x) =x² + x – 2u(x) =x2 - 92x - 1w(x) =r(x) =x2 - x - 2X +2x +2(a) Which of these rational functions has a horizontal asymptote? (Select all that apply.)r(x)O s(x)t(x)u(x)w(x)(b) Which of these functions has a slant asymptote? (Select all that apply.)O r(x)s(x)t(x)O u(x)w(x)(c) Which of these functions has no vertical asymptote? (Select all that apply.)O r(x)s(x)t(x)O u(x)O w(x)(d) Which of these functions has a "hole"? (Select all that apply.)O r(x)s(x)t(x)O u(x)O w(x)(e) What are the asymptotes of the function r(x)? (Enter your answers as a comma-separated list of equations.)O OO O O 0O O O 0 0

Answered: Image /qna-images/answer/4d325598-a579-4caa-a2e3-2cf7ff6542f6.jpg

x3 + 27 s(x) = x2 + 4 x³ - 9x x² + x - 2 u(x) = x² – 9 x3 + 4x² + 4x 2x - 1 r(x) = x2 - x - 2 t(x) = w(x) = x + 2 X + 2 (a) Which of these rational functions has a horizontal asymptote? (Select all that apply.) O r(x) s(x) t(x) U u(x) w(x)

x3 + 27 s(x) = x2 + 4 x³ - 9x x² + x - 2 u(x) = x² – 9 x3 + 4x² + 4x 2x - 1 r(x) = x2 - x - 2 t(x) = w(x) = x + 2 X + 2 (a) Which of these rational functions has a horizontal asymptote? (Select all that apply.) O r(x) s(x) t(x) U u(x) w(x)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...

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Question

Consider the following rational functions.
x3 + 4x² + 4x
x³ + 27
s(x) =
x²+ 4
x3 - 9x
t(x) =
x² + x – 2
u(x) =
x2 - 9
2x - 1
w(x) =
r(x) =
x2 - x - 2
X +2
x +2
(a) Which of these rational functions has a horizontal asymptote? (Select all that apply.)
r(x)
O s(x)
t(x)
u(x)
w(x)
(b) Which of these functions has a slant asymptote? (Select all that apply.)
O r(x)
s(x)
t(x)
O u(x)
w(x)
(c) Which of these functions has no vertical asymptote? (Select all that apply.)
O r(x)
s(x)
t(x)
O u(x)
O w(x)
(d) Which of these functions has a "hole"? (Select all that apply.)
O r(x)
s(x)
t(x)
O u(x)
O w(x)
(e) What are the asymptotes of the function r(x)? (Enter your answers as a comma-separated list of equations.)
O O
O O O 0
O O O 0 0

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