A rational function is given. r(x) = =x²4 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 X 3.5 3.9 3.99 3.999 Table 3. X 10 50 100 1000 [ 1 ] 1 Need Help? Read It Show My Work (Optional) ( r(x) r(x) хххх Watch It X 4.5 4.1 4.01 4.001 Table 4 X -10 -50 -100 (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = -1000 (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. as x4 and r(x) → as x→ 4+. r(x) r(x)
A rational function is given. r(x) = =x²4 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 X 3.5 3.9 3.99 3.999 Table 3. X 10 50 100 1000 [ 1 ] 1 Need Help? Read It Show My Work (Optional) ( r(x) r(x) хххх Watch It X 4.5 4.1 4.01 4.001 Table 4 X -10 -50 -100 (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = -1000 (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. as x4 and r(x) → as x→ 4+. r(x) r(x)
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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Transcribed Image Text:esc
A rational function is given.
r(x) =
(a) Complete each table for the function. (Round your answers to three decimal places where applicable.)
Table 1
Table 2
X
X-4
1
X
Q
3.5
Table 3
3.9
3.99
3.999
F1
X
10
N
50
100
Need Help? Read It
1000
Show My Work (Optional)?
[
1
1
@
2
1
W
r(x)
Watch It
F2
r(x)
#3
X
X
X
X
X
(c) Determine the horizontal asymptote, based on Tables 3 and 4.
y =
(b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2.
r(x) →
as x4 and r(x) →
80
E
A S D
F3
$
4
C
X
Q
F4
4.5
4.1
R
4.01
Table 4
4.001
X
-10
-50
-100
-1000
%
5
0
F5
T
r(x)
V
r(x)
as x→ 4+.
^
6
F6
Y
&
F G H
P
7
F7
U
* 00
2
DIL
8
F8
J
(
9
F9
K
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