Question
Asked Feb 14, 2020
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A rational function is given

r(x)= x/x-5

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.

 

 

 

х
r(x)
(a) Complete each table for the function. (Round your answers to three decimal places where applicable.)
Table 1
Table 2
r(x)
r(x)
х
х
4.5
5.5
4.9
5.1
4.99
5.01
4.999
5.001
Table 4
Table 3
r(x)
r(x)
х
х
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 → 5 and r(x) -
as x → 5+.
(c) Determine the horizontal asymptote, based on Tables 3 and 4.
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Image Transcriptionclose

х r(x) (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) х х 4.5 5.5 4.9 5.1 4.99 5.01 4.999 5.001 Table 4 Table 3 r(x) r(x) х х 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 → 5 and r(x) - as x → 5+. (c) Determine the horizontal asymptote, based on Tables 3 and 4.

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Expert Answer

(a)

Algebra homework question answer, step 1, image 1

(b)

Algebra homework question answer, step 2, image 1

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