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 theconclusion of the Mean Value Theorem applied to f on the closed interval 0, 12 ?A4.5 only because this is the value where f (x) equals the average rate of change of f on [0, 12].В3 and 8 because these are the values where f' (x) = 0 on [0, 12].с2 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 off (x) is equal to the average rate of change of f on [0, 12]. y++4.52 3++8912

According to the Mean value theorem, if function is continuous over the interval [a, b] and…

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...

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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].

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