The graph of a function y = f (x) is shown below. Which of the following statements are true? I. f'(-1) does not exist. II. f'(1) = 1 III. f'(2) does not exist because of a sharp corner. IV. f'(2) does not exist because f (x) is not continuous at x = 2. V. f'(3) < 0 VI. f'(3) > 0 a) O I, II, IV and V only b) O III and VI only c) OI, III, IV and V only d) OI, II, III, IV, V and VI e) II, III, IV and VI only

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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The graph of a function y = f (x) is shown below.
Which of the following statements are true?
I. f'(-1) does not exist.
II. f'(1) = 1
III. f'(2) does not exist because of a sharp corner.
IV. f'(2) does not exist because f (x) is not continuous at x = 2.
V. f'(3) < 0
VI. f'(3) > 0
a) OI, II, IV and V only
b) O III and VI only
c) OI, III, IV and V only
d) OI, II, III, IV, V and VI
e) O II, III, IV and VI only
Transcribed Image Text:The graph of a function y = f (x) is shown below. Which of the following statements are true? I. f'(-1) does not exist. II. f'(1) = 1 III. f'(2) does not exist because of a sharp corner. IV. f'(2) does not exist because f (x) is not continuous at x = 2. V. f'(3) < 0 VI. f'(3) > 0 a) OI, II, IV and V only b) O III and VI only c) OI, III, IV and V only d) OI, II, III, IV, V and VI e) O II, III, IV and VI only
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