1. Hint: Horizontal/Slant Asymptotes Rules. Let n be the degree of the numerator and m the degree of the denominator. o When n is less than m, the horizontal asymptote is y = 0 or the x -axis. o When n is equal to m, then the horizontal asymptote is equal to y = a/b (ratio of leading coefficients). o When n is greater than m, there is no horizontal asymptote o When n is exactly one more than m, there is a slant asymptote that can be found using long division. x-4 f(x): x²-4x-21 Vertical Asymptote(s):_ Horizontal Asymptote: -10 an 1 x-intercepts: far for or 8- 7+ 6- +4 -1- Go Fu - -3- -4- 4 to d -6+ -7+ -8+ y-intercept:_ M

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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1. Hint: Horizontal/Slant Asymptotes Rules. Let n be the degree of the numerator and m the degree of the
denominator.
o When n is less than m, the horizontal asymptote is y = 0 or the x -axis.
o When n is equal to m, then the horizontal asymptote is equal to y = a/b (ratio of leading coefficients).
o When n is greater than m, there is no horizontal asymptote
o When n is exactly one more than m, there is a slant asymptote that can be found using long division.
X-4
f(x):
x²-4x-21
Vertical Asymptote(s):_
Horizontal Asymptote:
-10
in
x-intercepts:
Gar
for
8-
7+
6-
5-
44
-1-
Go Fu
H
-3-
4-
4
-6+
-7+
-8+
y-intercept:_
M
Transcribed Image Text:1. Hint: Horizontal/Slant Asymptotes Rules. Let n be the degree of the numerator and m the degree of the denominator. o When n is less than m, the horizontal asymptote is y = 0 or the x -axis. o When n is equal to m, then the horizontal asymptote is equal to y = a/b (ratio of leading coefficients). o When n is greater than m, there is no horizontal asymptote o When n is exactly one more than m, there is a slant asymptote that can be found using long division. X-4 f(x): x²-4x-21 Vertical Asymptote(s):_ Horizontal Asymptote: -10 in x-intercepts: Gar for 8- 7+ 6- 5- 44 -1- Go Fu H -3- 4- 4 -6+ -7+ -8+ y-intercept:_ M
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