A function and its graph are given. Use the graph to find each of the following, if they exist. Then confirm your results analytically. f(x) = X-5 X-3 (a) (b) (c) -10 lim f(x) X-8 lim f(x) -5 X-8 y 10 5 -10F vertical asymptotes (Enter your answers as a comma-separated list of equations.) 5 10 X

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
Section3.6: Rational Functions
Problem 7E
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A function and its graph are given. Use the graph to find each of the following, if they exist. Then confirm your results analytically.
X-5
x - 3
f(x)
(a)
(b)
(c)
=
-10
lim f(x)
x →∞0
lim f(x)
-5
X→-8
y
10
5
-5
vertical asymptotes (Enter your answers as a comma-separated list of equations.)
- 10-
5
X
10
(d) horizontal asymptotes (Enter your answers as a comma-separated list of equations.)
Transcribed Image Text:A function and its graph are given. Use the graph to find each of the following, if they exist. Then confirm your results analytically. X-5 x - 3 f(x) (a) (b) (c) = -10 lim f(x) x →∞0 lim f(x) -5 X→-8 y 10 5 -5 vertical asymptotes (Enter your answers as a comma-separated list of equations.) - 10- 5 X 10 (d) horizontal asymptotes (Enter your answers as a comma-separated list of equations.)
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