The function f shown in the figure above is continuous on the closed interval (0, 12] and differentiable on the open interval (0, 12). Based on the graph, what are all values of x that satisfy the conclusion of the Mean Value Theorem applied to f on the closed interval [0, 12] ? A 4.5 only because this is the value where f (x) equals the average rate of change of f on [0, 12]. B 3 and 8 because these are the values where f' (x) = 0 on [0, 12]. 2 and 9 only because these are the values where the instantaneous rate of change of fat those values is equal to the average rate of change of f on [0, 12]. 2, 4.5, and 9 because these are the values where either the instantaneous rate of change of fat the value is equal to the average rate of change of f on (0, 12 or the value of D f (x) is equal to the average rate of change of f on [0, 12].
The function f shown in the figure above is continuous on the closed interval (0, 12] and differentiable on the open interval (0, 12). Based on the graph, what are all values of x that satisfy the conclusion of the Mean Value Theorem applied to f on the closed interval [0, 12] ? A 4.5 only because this is the value where f (x) equals the average rate of change of f on [0, 12]. B 3 and 8 because these are the values where f' (x) = 0 on [0, 12]. 2 and 9 only because these are the values where the instantaneous rate of change of fat those values is equal to the average rate of change of f on [0, 12]. 2, 4.5, and 9 because these are the values where either the instantaneous rate of change of fat the value is equal to the average rate of change of f on (0, 12 or the value of D f (x) is equal to the average rate of change of f on [0, 12].
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...
Related questions
Question
![The function f shown in the figure above is continuous on the closed interval 0, 12] and differentiable on the open interval (0, 12). Based on the graph, what are all values of x that satisfy the
conclusion of the Mean Value Theorem applied to f on the closed interval 0, 12 ?
A
4.5 only because this is the value where f (x) equals the average rate of change of f on [0, 12].
В
3 and 8 because these are the values where f' (x) = 0 on [0, 12].
с
2 and 9 only because these are the values where the instantaneous rate of change of fat those values is equal to the average rate of change of f on [0, 12].
2, 4.5, and 9 because these are the values where either the instantaneous rate of change of fat the value is equal to the average rate of change of f on 0, 12 or the value of
f (x) is equal to the average rate of change of f on [0, 12].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5498129d-fa90-4054-9767-1cffe54599e5%2F58ea6e94-191a-4bce-98b5-b8707c1df70f%2F8o7t83_processed.png&w=3840&q=75)
Transcribed Image Text:The function f shown in the figure above is continuous on the closed interval 0, 12] and differentiable on the open interval (0, 12). Based on the graph, what are all values of x that satisfy the
conclusion of the Mean Value Theorem applied to f on the closed interval 0, 12 ?
A
4.5 only because this is the value where f (x) equals the average rate of change of f on [0, 12].
В
3 and 8 because these are the values where f' (x) = 0 on [0, 12].
с
2 and 9 only because these are the values where the instantaneous rate of change of fat those values is equal to the average rate of change of f on [0, 12].
2, 4.5, and 9 because these are the values where either the instantaneous rate of change of fat the value is equal to the average rate of change of f on 0, 12 or the value of
f (x) is equal to the average rate of change of f on [0, 12].

Transcribed Image Text:y
+
+
4.5
2 3
+
+
89
12
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning