Functions and DerivativesCan you conclude anything about

Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Problem 3AAE Chapter 4

Thomas' Calculus: Early Transcendentals | 13th Edition

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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass

Thomas' Calculus: Early Transcendentals | 13th Edition

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Problem 3AAE

Functions and Derivatives

Can you conclude anything about the extreme values of a continuous function on an open interval? On a half-open interval? Give reasons for your answer.

Step-by-Step Solution:

Step 1 of 3 :

In this problem, we have to give conclusion about the extreme values of a continuous function on an open interval.

Step 2 of 3 :

Continuous function defined over an open interval or an half- open interval need not have any of the absolute extreme values.

Example:

(i)

Let  be a function defined over

        is continuous over

Both the absolute extreme values will not be at the end of an open interval.

(ii)

 achieve both global min (-1) and global max (1) inside the open or half open interval.

 have neither a global min nor a global max inside the open or half-open interval.

Step 3 of 3

Chapter 4, Problem 3AAE is Solved
Textbook: Thomas' Calculus: Early Transcendentals
Edition: 13th
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
ISBN: 9780321884077

Thomas' Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13th. This full solution covers the following key subjects: interval, open, function, conclude, Continuous. This expansive textbook survival guide covers 138 chapters, and 9198 solutions. The full step-by-step solution to problem: 3AAE from chapter: 4 was answered by Sieva Kozinsky, our top Calculus solution expert on 08/01/17, 02:37PM. The answer to “Functions and DerivativesCan you conclude anything about the extreme values of a continuous function on an open interval? On a half-open interval? Give reasons for your answer.” is broken down into a number of easy to follow steps, and 27 words. Since the solution to 3AAE from 4 chapter was answered, more than 225 students have viewed the full step-by-step answer.

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