Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of f(). b) For the end behaviour of the function, fom what direction does f(1) approach the horizontal asymptote as I tends towards +00 and-c0? As + +0, f(x) -. As x--0,f(x) -. c) State the equation of the vertical asymptote of f(x). a) Determine the behaviour of the graph near the vertical asymptote.
Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of f(). b) For the end behaviour of the function, fom what direction does f(1) approach the horizontal asymptote as I tends towards +00 and-c0? As + +0, f(x) -. As x--0,f(x) -. c) State the equation of the vertical asymptote of f(x). a) Determine the behaviour of the graph near the vertical asymptote.
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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Transcribed Image Text:Let f(x) =
Use the concept of limits to determine the equation of the horizontal asymptote of f(x).
a)
b)
For the end behaviour of the function, from what direction does f(x) approach the horizontal
asymptote as x tends towards +00 and-c0?
As x+ +00, f(x) -
As x +-00, f(x) -
c)
State the equation of the vertical asymptote of f(x).
d) Determine the behaviour of the graph near the vertical asymptote.
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