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 - 4)2 y 15 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: 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.
x2
f(x)
=
(x – 4)2
-
y
15|
10
5
-15
- 10
-5
10
15
-5F
(a)
vertical asymptotes (Enter your answers as a comma-separated
list of equations.)
x = 4
(b)
lim f(x)
(c)
lim f(x)
X -0
(d)
horizontal asymptotes (Enter your answers as a comma-separated
list of equations.)
y= 1
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. x2 f(x) = (x – 4)2 - y 15| 10 5 -15 - 10 -5 10 15 -5F (a) vertical asymptotes (Enter your answers as a comma-separated list of equations.) x = 4 (b) lim f(x) (c) lim f(x) X -0 (d) horizontal asymptotes (Enter your answers as a comma-separated list of equations.) y= 1
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