To Find: the absolute extreme value of the given graph, also, explain according to Extreme value theorem.
Answer to Problem 10E
The minimum value exists at
Also, the extreme value theorem doesn’t apply here as the function is not continuous.
Explanation of Solution
Given information:
The graph is:
Concept Used:
The extreme values are the points where any x values minimum and maximum value of y is obtained.
Extreme value theorem: For any real valued function if it is continuous in a closed interval then it must attain a maximum and a minimum both at least once.
From the given graph it can be seen that the function is not continuous in a closed interval
While looking at the graph it can be concluded that the minimum value exists at
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning