9-12 Table of Values A rational function is given. (a) Com- plete each table for the function. (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. (c) Determine the horizontal asymptote, based on Tables 3 and 4. TABLE 1 TABLE 2 r(x) r(x) 1.5 2.5 1.9 2.1 2.01 1.99 1.999 2.001 TABLE 3 TABLE 4 r(x) r(x) 10 -10 50 -50 - 100 - 1000 100 1000 3x + 1 r(x) : %3D (x – 2)?

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
Section3.6: Rational Functions
Problem 12E: Table of Values A rational function is given. (a) Complete each table for the function. (b) Describe...
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9-12 Table of Values A rational function is given. (a) Com-
plete each table for the function. (b) Describe the behavior of the
function near its vertical asymptote, based on Tables 1 and 2.
(c) Determine the horizontal asymptote, based on Tables 3 and 4.
TABLE 1
TABLE 2
r(x)
r(x)
1.5
2.5
1.9
2.1
2.01
1.99
1.999
2.001
TABLE 3
TABLE 4
r(x)
r(x)
10
-10
50
-50
- 100
- 1000
100
1000
3x + 1
r(x) :
%3D
(x – 2)?
Transcribed Image Text:9-12 Table of Values A rational function is given. (a) Com- plete each table for the function. (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. (c) Determine the horizontal asymptote, based on Tables 3 and 4. TABLE 1 TABLE 2 r(x) r(x) 1.5 2.5 1.9 2.1 2.01 1.99 1.999 2.001 TABLE 3 TABLE 4 r(x) r(x) 10 -10 50 -50 - 100 - 1000 100 1000 3x + 1 r(x) : %3D (x – 2)?
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