y 4 3 2 -6 -5 +4 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 y = f\x) -4 1.

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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34

y
4
3
2
1
X
-6 -5
-4 -3 -2 -1
1
-1
2
3
4
-2
-3
y = f\x)
-41
lim f(x)=
(а)
x→-4+
O 2
O -3
О 1
O 3
O DNE
(b) Is f(x) differentiable at x = 4?
O false
O true
(c) Find the domain of f(x).
O [-6,-4) U (-4,6)
O (-6,-4) U (-4,6)
O [-6,6]
O (-6,-4) U (-4,2) U (2,6)
O [-6,6)
O [-6,-4) U (-4,2) U (2,6)
O (-6,2) U (2,6)
O [-6,2) U (2,6)
(d) Find the range of f(x).
O [-3,2) U (2,4]
O [-3,4]
O [-3,1) U (1,4]
O (-3,2) U (2,4]
O (-3,4]
О (-3,3)
O (-3,1) U (1,4]
O [-3,3]
Transcribed Image Text:y 4 3 2 1 X -6 -5 -4 -3 -2 -1 1 -1 2 3 4 -2 -3 y = f\x) -41 lim f(x)= (а) x→-4+ O 2 O -3 О 1 O 3 O DNE (b) Is f(x) differentiable at x = 4? O false O true (c) Find the domain of f(x). O [-6,-4) U (-4,6) O (-6,-4) U (-4,6) O [-6,6] O (-6,-4) U (-4,2) U (2,6) O [-6,6) O [-6,-4) U (-4,2) U (2,6) O (-6,2) U (2,6) O [-6,2) U (2,6) (d) Find the range of f(x). O [-3,2) U (2,4] O [-3,4] O [-3,1) U (1,4] O (-3,2) U (2,4] O (-3,4] О (-3,3) O (-3,1) U (1,4] O [-3,3]
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