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

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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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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