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A rational function is given. r(x) X - 2 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.999 2.001 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 → 2- and r(x) → as x → 2+. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = Need Help? Watch It Read It

A rational function is given. r(x) X - 2 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.999 2.001 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 → 2- and r(x) → as x → 2+. (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = Need Help? Watch It Read It

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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A rational function is given. r(x) = X - 2 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.999 2.001 Table 3 Table 4 r(x) 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 → 2- and r(x) - as x → 2+, (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = Need Help? Read It Watch It
Transcribed Image Text:A rational function is given. r(x) = X - 2 (a) Complete each table for the function. (Round your answers to three decimal places where applicable.) Table 1 Table 2 r(x) r(x) 1.5 2.5 1.9 2.1 1.99 2.01 1.999 2.001 Table 3 Table 4 r(x) 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 → 2- and r(x) - as x → 2+, (c) Determine the horizontal asymptote, based on Tables 3 and 4. y = Need Help? Read It Watch It
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