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 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.
Let be a function defined over
is continuous over
Both the absolute extreme values will not be at the end of an open interval.
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.
Textbook: Thomas' Calculus: Early Transcendentals
Author: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
Thomas' Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321884077. This textbook survival guide was created for the textbook: Thomas' Calculus: Early Transcendentals , edition: 13. 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 , 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 227 students have viewed the full step-by-step answer.