Let if x < 1 if x = 1 3 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) (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. g(x) g(x) 5 5 X -5 -5 -5 -5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let
if x < 1
if x = 1
3
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)
(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.
g(x)
g(x)
5
5
X
-5
-5
-5
-5
Transcribed Image Text:Let if x < 1 if x = 1 3 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) (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. g(x) g(x) 5 5 X -5 -5 -5 -5
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