Let Sx² + 3 f(x) = if x < 1 l(x - 2)2 if x 2 1' (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = x-1 lim f(x) = x-1+ (b) Does lim f(x) exist? x-1 Yes O No (c) Sketch the graph of f. y 3 -1 2 3 4 -1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 2E
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Question
Let
Sx2 + 3
f(x) :
l(x - 2)² if x > 1
if x < 1
=
(a) Find the following limits. (If an answer does not exist, enter DNE.)
lim
f(x) =
%3D
X → 1-
lim
f(x) =
X → 1+
(b) Does
lim f(x) exist?
X → 1
Yes
No
(c) Sketch the graph of f.
y
y
y
3f
2
1
-1
1
2
3
2
2
-1
1
1
-2
-1
2
4
-1
2
3
4
-1
-1
y
3
Transcribed Image Text:Let Sx2 + 3 f(x) : l(x - 2)² if x > 1 if x < 1 = (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = %3D X → 1- lim f(x) = X → 1+ (b) Does lim f(x) exist? X → 1 Yes No (c) Sketch the graph of f. y y y 3f 2 1 -1 1 2 3 2 2 -1 1 1 -2 -1 2 4 -1 2 3 4 -1 -1 y 3
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