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Which of the functions I-III meet each of the following descriptions? There may be more than one function for each description, or none at all. 3x-1 I. y = x2 +9 3x-1 II. y = x2 +9 3x+1 III. y = 2-9 (a) Horizontal asymptote of y = 3. II (b) The x-axis is a horizontal asymptote. II (c) Symmetric about the y-axis. II (d) An odd function. II (e) Vertical asymptotes at x = ± 3. II

Which of the functions I-III meet each of the following descriptions? There may be more than one function for each description, or none at all. 3x-1 I. y = x2 +9 3x-1 II. y = x2 +9 3x+1 III. y = 2-9 (a) Horizontal asymptote of y = 3. II (b) The x-axis is a horizontal asymptote. II (c) Symmetric about the y-axis. II (d) An odd function. II (e) Vertical asymptotes at x = ± 3. II

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 104E
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Which of the functions I-III meet each of the following descriptions? There may be more than one function for each description, or none at all. 3x-1 I. y = x2 +9 3x-1 II. y = x2 +9 3x +1 III. y = 2-9 (a) Horizontal asymptote of y = 3. II (b) The x-axis is a horizontal asymptote. II (c) Symmetric about the y-axis. II (d) An odd function. II (e) Vertical asymptotes at x = ±3. II
Transcribed Image Text:Which of the functions I-III meet each of the following descriptions? There may be more than one function for each description, or none at all. 3x-1 I. y = x2 +9 3x-1 II. y = x2 +9 3x +1 III. y = 2-9 (a) Horizontal asymptote of y = 3. II (b) The x-axis is a horizontal asymptote. II (c) Symmetric about the y-axis. II (d) An odd function. II (e) Vertical asymptotes at x = ±3. II
Find all horizontal and vertical asymptotes for the following rational function. 2 + 6x + 36 x² - 36 f(x) = Enter the vertical asymptotes in increasing order. The horizontal asymptote is y = 1 The vertical asymptotes are x = and x =
Transcribed Image Text:Find all horizontal and vertical asymptotes for the following rational function. 2 + 6x + 36 x² - 36 f(x) = Enter the vertical asymptotes in increasing order. The horizontal asymptote is y = 1 The vertical asymptotes are x = and x =
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