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5. Find the V.A. and H.A. of the function 6-9x Sex a). f(x) : b). f (x) : 2x+5 2ex-1

5. Find the V.A. and H.A. of the function 6-9x Sex a). f(x) : b). f (x) : 2x+5 2ex-1

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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5. Find the V.A. and H.A. of the function Se* b). f(x) = 6-9x a). f(x) = 2x+5 2ex-1
Transcribed Image Text:5. Find the V.A. and H.A. of the function Se* b). f(x) = 6-9x a). f(x) = 2x+5 2ex-1
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Vertical asymptotes:

The line x=L is a vertical asymptote of the functionf(x), if the limit of the function (one-sided) at this point is infinite.

In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.

So, find the points where the denominator equals 0 and check them

 

 

Horizontal asymptotes;

Line y=L is a horizontal asymptote of the function y=f(x), if either limx→∞f(x) =L or limx→-∞f(x) =L and L is finite.

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