Selected values of the function f are shown in the table below. The function f is continuous on the closed interval [3, 6]. Determine the validity of the following statement: There exists a value c in the open interval (3, 6) such that f'(c) = -6. Answer x 3 5 6 8 -2 -10 the statement must be true the statement must be false the statement could be either true or false Submit Answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Selected values of the function f are shown in the table below. The function f is continuous on
the closed interval [3, 6]. Determine the validity of the following statement:
There exists a value c in the open interval (3, 6) such that f'(c) = -6.
Answer
x
3
5
6
f(x)
8
-2
-10
the statement must be true
the statement must be false
the statement could be either true or false
Submit Answer
Transcribed Image Text:Selected values of the function f are shown in the table below. The function f is continuous on the closed interval [3, 6]. Determine the validity of the following statement: There exists a value c in the open interval (3, 6) such that f'(c) = -6. Answer x 3 5 6 f(x) 8 -2 -10 the statement must be true the statement must be false the statement could be either true or false Submit Answer
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