We are interested in the functionf, but we only have the graph of its derivative f, given below. 30 20- 40- 5/3 3 5/3 3 -10 15 10 -10- -20- -30- Graph ofy = f'(x) Which of the statements concerning fis/are true? (1) f is increasing over the intervals(-0, -5) U (0,5) (2) fis decreasing over intervals(-o, -5) U (0, 5) (3) f is convex over the interval (-5/3 /3,5/3 3) (4) f is concave on the interval (-5/3 /3,5/3 /3) (5) The critical points of farex = -5, x = 0anda = 5 (6) The inflection points of farex = -5, x = 0anda = 5 O (1), (6) O (2), (4), (5) O (3)only O (2), (3), (6)

Calculus: Early Transcendentals
8th Edition
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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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We are interested in the function f , but we only have the graph of its derivative f', given below.
30
20-
10-
5/3
3.
-10
5 5/3
10
3.
-10-
-20
-30
Graph ofy =
f' (æ)
Which of the statements concerning fis/are true?
(1) fis increasing over the intervals(-0, -5) U (0, 5)
(2) fis decreasing over intervals(-o, – 5) U (0, 5)
(3)f is convex over the interval (-5/3 3, 5/3 /3)
(4) f is concave on the interval (-5/3 /3, 5/3 /3)
(5) The critical points of farex = -5, x = 0andx = 5
(6) The inflection points of farex = -5, x = Oandæ = 5
O (1), (6)
O (2), (4), (5)
(3) only
O (2), (3), (6)
O (2), (6)
O (5), (6)
O (1), (3), (5)
O (1), (4), (5)
Transcribed Image Text:We are interested in the function f , but we only have the graph of its derivative f', given below. 30 20- 10- 5/3 3. -10 5 5/3 10 3. -10- -20 -30 Graph ofy = f' (æ) Which of the statements concerning fis/are true? (1) fis increasing over the intervals(-0, -5) U (0, 5) (2) fis decreasing over intervals(-o, – 5) U (0, 5) (3)f is convex over the interval (-5/3 3, 5/3 /3) (4) f is concave on the interval (-5/3 /3, 5/3 /3) (5) The critical points of farex = -5, x = 0andx = 5 (6) The inflection points of farex = -5, x = Oandæ = 5 O (1), (6) O (2), (4), (5) (3) only O (2), (3), (6) O (2), (6) O (5), (6) O (1), (3), (5) O (1), (4), (5)
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