A rational function is given. r(x) = X - 6 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 5.5 6.5 5.9 6.1 5.99 6.01 5.999 6.001 Table 3 Table 4 r(x) r(x) 10 -10 50 -50 100 -100 1000 -1000 (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x) - as x + 6 and r(x) → as x+ 6*. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y =
A rational function is given. r(x) = X - 6 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 5.5 6.5 5.9 6.1 5.99 6.01 5.999 6.001 Table 3 Table 4 r(x) r(x) 10 -10 50 -50 100 -100 1000 -1000 (b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2. r(x) - as x + 6 and r(x) → as x+ 6*. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y =
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:A rational function is given.
r(x) =
X - 6
(a) Complete each table for the function. (Round your answers to three decimal places where applicable.)
Table 1
Table 2
r(x)
r(x)
5.5
6.5
5.9
6.1
5.99
6.01
5.999
6.001
Table 3
Table 4
r(x)
r(x)
10
-10
50
-50
100
-100
1000
-1000
(b) Describe the behavior of the function near its vertical asymptote, based on Tables 1 and 2.
r(x) -
as x → 6 and r(x) →
as x - 6*.
(c) Determine the horizontal asymptote, based on Tables 3 and 4.
y =
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