Question: Find an example of a function for some non-degenerate closed bounded interval such that is continuous and differentiable on , and that does not satisfy

Find an example of a function for some non-degenerate closed bounded interval such that is continuous and differentiable on , and that does not satisfy the conclusion of the mean value theorem.

we need a function that is defined on the entire interval [a,b].HINT: you can tweak your function at one point to make it work.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

BIM Computers Inc. sells its popular PC- PAL model to distributors at a price of $ 1,250 per unit. BIMs profit margin is 20%. Factory orders average 400 units per week. Currently, BIM works in a...

Give an example of a function f which satisfies the intermediate-value property on a closed and bounded interval [a, b] but is not continuous on a, 6). () Give an example of a function f which is...

:Clearly answer the following questions. Phillips Curve with bargaining power's impact on labor productivity. The labor market model and the consequent Phillips Curve that we developed in the...

A region bounded by f(x) = -x2 + 5, y = 1, and x = O is shown below. Find the volume of the solid formed by revolving the region about the x-axis. 0 27.?33 0 30.133 0 55.46? 0 58.833 A region bounded...

Find all absolute and relative extreme values of the function f(:c) = 2:3 + 6, on the interval [0, 3]. O The absolute maximum is f(3) = 33 and the absolute minimum is f(1) = T. 0 The absolute maximum...

If f(x) = 3x2 + 2x, does the Mean Value Theorem apply on the interval [0, 1] and why? O The Mean Value Theorem applies because f(x) is differentiable on the open interval (0,1). O The Mean Value...

PLEASE MAKE WRITING AND FORMATTING CLEAR! ONLY NEED ANSWERS. If f(x) = 3x2 + 2x, does the Mean Value Theorem apply on the interval [0, 1] and why? O The Mean Value Theorem applies because f(x) is...

If f(x) = tan(x), does the Mean Value Theorem apply on the interval [0, 7] and why? O The Mean Value Theorem applies because, f(@) is differentiable on the closed interval [0, 7]. O The Mean Value...

PLEASE MAKE WRITING AND FORMAT CLEAR! Which of the following are conditions for the Mean Value Theorem? 0 For the Mean Value Theorem to apply, f(x) needs to be continuous on an open interval (a, b)....

Question 1. Consider the following function. Rx) = -5x3+ 15x + 4 (a) Find the critical numbers of f. (Enter your answers as a comma separated list.) x - -1.1 (b) Find the open intervals on which the...

PLEASE ANSWER ALL QUESTIONS AND MAKE WRITING CLEAR 3 _ ForfOC) = % does the Mean Value theorem apply on the interval [0, 2] and why? 0 The Mean Value Theorem does not apply because x) is not...

Using the information in Problem 6-11, prepare a consolidated statements workpaper using the trial balance format.

Edna Company purchased 70% of the outstanding common stock of Damen Corporation. Instructions (a) Explain the relationship between Edna Company and Damen Corporation. (b) How should Edna account for...

what type of lease would be considered a form of off blance sheet financing

What are three examples of a nominal surface in drawings?