Below is the graph of a piecewise function f(x). y 2 1 X -6 -5 4 -3 -2 -1 -1 2 3 4 5 6 1 -2 -3 y = f(x) -4| (a) lim f(x)= X→-4+ O 2 DNE O 1 O -3 (b) Is f(x) differentiable at x = 4? O true false (c) Find the domain of f(x). O (-6,2) U (2,6) O [-6,6] O [-6,2) U (2,6) O (-6,-4) U (-4,6) O [-6,-4) U (-4,2) U (2,6) O [-6,6) O [-6,-4) U (-4,6) O (-6,-4) U (-4,2) U (2,6) 3.

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