X 1.1 1.2 1.3 1.4 f (x) 4.18 | 4.38 | 4.56| 4.73 Let fbe a function such that f" (x) < 0 for all x in the closed interval (1, 2]. Selected values of fare shown in the table above. Which of the following must be true about f' (1.2)?

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Question 6
X
1.1
1.2
1.3
1.4
f (x) 4.18 | 4.38 4.56 4.73
Let fbe a function such that f" (x) < O for all xin the closed interval [1, 2]. Selected values of fare shown in the table above. Which of the following must be true about f' (1.2)?
A
f' (1.2) < 0
B
0 < f' (1.2) < 1.6
1.6 < f' (1.2) < 1.8
1.8 < f' (1.2) < 2.0
D
E
f' (1.2) >2.0
Transcribed Image Text:Question 6 X 1.1 1.2 1.3 1.4 f (x) 4.18 | 4.38 4.56 4.73 Let fbe a function such that f" (x) < O for all xin the closed interval [1, 2]. Selected values of fare shown in the table above. Which of the following must be true about f' (1.2)? A f' (1.2) < 0 B 0 < f' (1.2) < 1.6 1.6 < f' (1.2) < 1.8 1.8 < f' (1.2) < 2.0 D E f' (1.2) >2.0
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