he function f is continuous and differentiable on the closed interval (3, 7]. The table above gives selected values of f on this interval. Whi I. The minimum value off on [3, 7] is 12. II. There exists c, for 3 < c< 7, such that f' (c) = 0. II. f' (x) > 0 for 5 < x<7.
he function f is continuous and differentiable on the closed interval (3, 7]. The table above gives selected values of f on this interval. Whi I. The minimum value off on [3, 7] is 12. II. There exists c, for 3 < c< 7, such that f' (c) = 0. II. f' (x) > 0 for 5 < x<7.
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 function f is continuous and differentiable on the closed interval [3, 7]. The table above gives selected values of f on this interval. Which of the following statements must be true?
I. The minimum value off on [3, 7] is 12.
II. There exists c, for 3 < c< 7, such that f' (c) = 0.
II. f' (x) > 0 for 5 < x< 7.
A
I only
B
Il only
III only
D
I and III only
E
I, II, and III
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5498129d-fa90-4054-9767-1cffe54599e5%2Fe4e5ac95-5f4d-4b55-a51e-c9beb094d6c5%2Fu4pgsgu_processed.png&w=3840&q=75)
Transcribed Image Text:3
4
5
7
f(x)
20
17
12
16
The function f is continuous and differentiable on the closed interval [3, 7]. The table above gives selected values of f on this interval. Which of the following statements must be true?
I. The minimum value off on [3, 7] is 12.
II. There exists c, for 3 < c< 7, such that f' (c) = 0.
II. f' (x) > 0 for 5 < x< 7.
A
I only
B
Il only
III only
D
I and III only
E
I, II, and III
20
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