Sketch a function that is continuous on (-∞0,00) and has the following properties. Use a number line to summarize information about the function. f'(x) > 0 on (-∞, -4); f'(x) <0 on (-4,1); f'(x) > 0 on (1,00). (...) Which of the following graphs matches the description of the given properties? O A. О в. Ay 20 Which number line summarizes the information about the function? f'(x) < 0 f'(x) > 0 O A. -10 f'(x) > 0 f'(x) < 0 O C. -10 10 20 20 -20 Ау 40 f'(x) < 0 f'(x) > 0 10

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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Sketch a function that is continuous on (-∞o,co) and has the following properties. Use a number line to summarize information about the function.
f'(x) > 0 on (-∞, - 4); f'(x) <0 on (-4,1); f'(x) > 0 on (1,00).
Which of the following graphs matches the description of the given properties?
O A.
OB.
O
Ay
X
40
-20
Which number line summarizes the information about the function?
f'(x) < 0
f'(x) > 0
O A.
-10
f'(x) > 0
f'(x) < 0
O C.
-10
10
20-
10
20
20
Ау
f'(x) < 0
10
f'(x) > 0
10
E
OD
Transcribed Image Text:Sketch a function that is continuous on (-∞o,co) and has the following properties. Use a number line to summarize information about the function. f'(x) > 0 on (-∞, - 4); f'(x) <0 on (-4,1); f'(x) > 0 on (1,00). Which of the following graphs matches the description of the given properties? O A. OB. O Ay X 40 -20 Which number line summarizes the information about the function? f'(x) < 0 f'(x) > 0 O A. -10 f'(x) > 0 f'(x) < 0 O C. -10 10 20- 10 20 20 Ау f'(x) < 0 10 f'(x) > 0 10 E OD
f'(x) < 0
10
f'(x) > 0
10
O C.
Ay
20
108
10
10
-20
-10
-10
OB.
O D.
f(x) > 0
f(x) < 0
f(x) < 0
f(x) > 0
O D.
Ay
Q
20
2013
10
-20
Time Remaining: 00:42:51
f(x) > 0
10
f(x) <0
10
Next
Transcribed Image Text:f'(x) < 0 10 f'(x) > 0 10 O C. Ay 20 108 10 10 -20 -10 -10 OB. O D. f(x) > 0 f(x) < 0 f(x) < 0 f(x) > 0 O D. Ay Q 20 2013 10 -20 Time Remaining: 00:42:51 f(x) > 0 10 f(x) <0 10 Next
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