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Determine the horizontal and vertical asymptotes for the following eauations. 3 2x 14 21) f(x) 22) g(x) 23) h(x) %3D x+1 x-3 2x2+7

Determine the horizontal and vertical asymptotes for the following eauations. 3 2x 14 21) f(x) 22) g(x) 23) h(x) %3D x+1 x-3 2x2+7

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine the horizontal and vertical asvmptotes for the followina equations. 3 2x 14 21) f(x) 22) g(x) 23) h(x) x+1 x-3 2x2+7
Transcribed Image Text:Determine the horizontal and vertical asvmptotes for the followina equations. 3 2x 14 21) f(x) 22) g(x) 23) h(x) x+1 x-3 2x2+7
Expert Solution
Step 1

Note:-

Horizontal asymptotes

Rule 1:-

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.

Rule 2:-

Degree of numerator is greater than degree of denominator: no horizontal asymptote; slant asymptote.

Rule 3:-

Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Now for vertical asymptotes

The function will have vertical asymptotes when the denominator is zero.

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