(b) Sketch the graph of g. -10 -5 g(x) 106 5 -5 -10- g(x) 101 5 x x 5 10 -10 -5 5 10 -10 -5 -5 10 g(x) 5 ✓ -10 -5 -5 -10- x 5 10 -10- g(x) 10 5 -5 -10- x 10 i Let 6 if x < 1 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

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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Question
(b) Sketch the graph of g.
-10
-5
g(x)
106
5
-5
-10-
g(x)
101
5
x
x
5
10
-10
-5
5
10
-10
-5
-5
10
g(x)
5
✓
-10
-5
-5
-10-
x
5
10
-10-
g(x)
10
5
-5
-10-
x
10
i
Transcribed Image Text:(b) Sketch the graph of g. -10 -5 g(x) 106 5 -5 -10- g(x) 101 5 x x 5 10 -10 -5 5 10 -10 -5 -5 10 g(x) 5 ✓ -10 -5 -5 -10- x 5 10 -10- g(x) 10 5 -5 -10- x 10 i
Let
6
if x < 1
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
Transcribed Image Text:Let 6 if x < 1 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
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