Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0) = f(4) = 0 f'(x) > 0 for x < 2 f'(2) = 0 f'(x) < 0 for x > 2 f"(x) < 0

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
Sketch the graph of a function f having the given characteristics. (Select the correct graph.)
f(0) = f(4) = 0
f'(x) > 0 for x < 2
#
f'(2) = 0
f'(x) < 0 for x > 2
f"(x) < 0
y
1
2
-1
-2
-3
4
5
6
-4
-5
WN
Att
1
2
X
3
4
-10
10
5
y
5
4
3
2
1
1
1
2
2
3
3
3
4
A
5
6
X
X
Transcribed Image Text:Sketch the graph of a function f having the given characteristics. (Select the correct graph.) f(0) = f(4) = 0 f'(x) > 0 for x < 2 # f'(2) = 0 f'(x) < 0 for x > 2 f"(x) < 0 y 1 2 -1 -2 -3 4 5 6 -4 -5 WN Att 1 2 X 3 4 -10 10 5 y 5 4 3 2 1 1 1 2 2 3 3 3 4 A 5 6 X X
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