A rational function is given. r(x) = 4x + 1 x − 6 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 x r(x) 5.5 5.9 5.99 5.999 x r(x) 6.5 6.1 6.01 6.001 Table 3 Table 4 x r(x) 10 50 100 1000 x r(x) −10 −50 −100 −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) = 4x + 1 x − 6 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 x r(x) 5.5 5.9 5.99 5.999 x r(x) 6.5 6.1 6.01 6.001 Table 3 Table 4 x r(x) 10 50 100 1000 x r(x) −10 −50 −100 −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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 5MRE
Related questions
Question
A rational function is given.
r(x) =
| 4x + 1 |
| x − 6 |
(a) Complete each table for the function. (Round your answers to three decimal places where applicable.)
(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 | |||||||||||||||||||||
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| Table 3 | Table 4 | |||||||||||||||||||||
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(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 =
From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes as a comma-separated list of equations if necessary.)
| x-intercept |
(x, y) =
|
|
|
|
||
| y-intercept |
(x, y) =
|
|
|
|
||
| vertical asymptote |
|
|||||
| horizontal asymptote |
|
Transcribed Image Text:-10
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