44. f(x) f(x) == // 4-x x²-16 47. f(x)=- +² x²-4 45. f(x)=- x-1 x²+x-2 48. f(x)=- 2+x x²(1-x) 46. f(x)=- 49. f(x)= 5x+20 x²-16

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 3TU
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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)=-
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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