75-78 - Transformations of y = 1/x A rational function is given. (a) Find all vertical and horizontal asymptotes, all x- and y-intercepts, and state the domain and range. (b) Use transforma- tions of the graph of y = 1/x to sketch a graph of the rational function, and state the domain and range of r. 3 -1 75. r(x) 76. г(х) x + 4 5 Зх — 4 2x + 5 77. r(x) = 78. r(x) x - 1 x + 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 78E: Transformations of y=1/x A rational function ¡sgiven. (a) Find all vertical and horizontal...
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75-78 - Transformations of y = 1/x A rational function is
given. (a) Find all vertical and horizontal asymptotes, all x- and
y-intercepts, and state the domain and range. (b) Use transforma-
tions of the graph of y = 1/x to sketch a graph of the rational
function, and state the domain and range of r.
3
-1
75. r(x)
76. г(х)
x + 4
5
Зх — 4
2x + 5
77. r(x) =
78. r(x)
x - 1
x + 2
Transcribed Image Text:75-78 - Transformations of y = 1/x A rational function is given. (a) Find all vertical and horizontal asymptotes, all x- and y-intercepts, and state the domain and range. (b) Use transforma- tions of the graph of y = 1/x to sketch a graph of the rational function, and state the domain and range of r. 3 -1 75. r(x) 76. г(х) x + 4 5 Зх — 4 2x + 5 77. r(x) = 78. r(x) x - 1 x + 2
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