Let X if x < 1 5 if x = 1 g(x) 2 x2 if 1 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) (i) lim g(x) x 1 (ii) lim g(x) x+1+ (iii) g(1) (iv) lim g(x) x-2 (v) lim g(x) x-2+ (vi) lim g(x) x-2 (b) Sketch the graph of g. 2x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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Let
X
if x < 1
5
if x = 1
g(x)
2 x2
if 1<x≤2
x-3 if x > 2
(a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.)
(i)
lim g(x)
x 1
(ii)
lim g(x)
x+1+
(iii)
g(1)
(iv)
lim g(x)
x-2
(v)
lim g(x)
x-2+
(vi) lim g(x)
x-2
(b) Sketch the graph of g.
2x
Transcribed Image Text:Let X if x < 1 5 if x = 1 g(x) 2 x2 if 1<x≤2 x-3 if x > 2 (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter DNE.) (i) lim g(x) x 1 (ii) lim g(x) x+1+ (iii) g(1) (iv) lim g(x) x-2 (v) lim g(x) x-2+ (vi) lim g(x) x-2 (b) Sketch the graph of g. 2x
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