A rational function is given. 4x + 1 r(x) = X - 5 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 4.5 5.5 4.9 5.1 4.99 5.01 4.999 5.001 Table 3 Table 4 r(x) r(x) 10 -10 50 -50 100 -100 1000 -1000

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2.
r(x)
5
as x - 5 and r(x)
as x - 5+.
(c) Determine the horizontal asymptote, based on Tables 3 and 4.
y =4
%3D
Transcribed Image Text:(b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x) 5 as x - 5 and r(x) as x - 5+. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y =4 %3D
A rational function is given.
4x + 1
r(x)
X - 5
(a) Complete each table for the function. (Round your answers to three decimal places where applicable.)
Table 1
Table 2
r(x)
r(x)
4.5
5.5
4.9
5.1
4.99
5.01
4.999
5.001
Table 3
Table 4
r(x)
r(x)
10
-10
50
-50
100
-100
1000
-1000
Transcribed Image Text:A rational function is given. 4x + 1 r(x) X - 5 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 4.5 5.5 4.9 5.1 4.99 5.01 4.999 5.001 Table 3 Table 4 r(x) r(x) 10 -10 50 -50 100 -100 1000 -1000
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