D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10 -11 -13 I Can we use the Mean Value Theorem to say the equation f'(x) = 1 has a solution where 7 << 8? O No, since we don't know if f is differentiable over the interval 7 << 8. O Yes, both conditions for using the Mean Value Theorem have been met. O No, since the average rate of change of f over the interval 75 ≤8 isn't equal to 1. Question 6 Let g (2) = 2-2 Can we use the Mean Value Theorem to say that the equation 1 has a solution where 1 < z < 4? QYes, both conditions for using the Mean Value Theorem have been met. No, since the average rate of change of g over the 1 interval 1 ≤ ≤4 isn't equal to O No, since g is not continuous on the interval 1 ≤ ≤4.

D Question 5 D The table gives selected values of the continuous function f. 7 8 9 10 f(z) -11 -10 -11 -13 I Can we use the Mean Value Theorem to say the equation f'(x) = 1 has a solution where 7 << 8? O No, since we don't know if f is differentiable over the interval 7 << 8. O Yes, both conditions for using the Mean Value Theorem have been met. O No, since the average rate of change of f over the interval 75 ≤8 isn't equal to 1. Question 6 Let g (2) = 2-2 Can we use the Mean Value Theorem to say that the equation 1 has a solution where 1 < z < 4? QYes, both conditions for using the Mean Value Theorem have been met. No, since the average rate of change of g over the 1 interval 1 ≤ ≤4 isn't equal to O No, since g is not continuous on the interval 1 ≤ ≤4.

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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