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:VERTICAL ASYMPTOTES
Determine the vertical asymptotes for the function. Set the denominator equal to zero to find the x-value for
which the function is undefined. That will be the vertical asymptote given the numerator does not equal 0 also
(Remember this is called removable discontinuity).
Write a vertical asymptotes as a line in the form x=
Example: Find the vertical asymptote of y=-
1
x-2
Since when x=2 the function is in the form 1/0
then the vertical line x=2 is a vertical asymptote
of the function.
44. f(x)== /
4-x
47. f(x)=x²-16
x²
x²-4
45. f(x)=-
x-1
x²+x-2
48. f(x)=-
12
=0
x-2
46. f(x)=
2+x
x² (1-x)
Sx-+20
x²-16
49. f(x)=-
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