Concept explainers
(a)
To sketch: The graph of a function on
(a)
Explanation of Solution
Let x be represented in the x-axis and the value of the function
Absolute maximum is any point of the domain at which the function attains its maximum value. Since the given interval is
Local maximum is the point in the considered interval of the domain at which the function attains its maximum value.
Draw the graph of the function
From Figure 1, observe that the absolute maximum occurs at
(b)
To sketch: The graph of a function on
(b)
Explanation of Solution
Let x be represented in the x-axis and the value of the function
Local maximum is the point in the considered interval of the domain at which the function attains its maximum value.
Consider any greatest point on the interval
Absolute maximum is any point of the domain at which the function attains its maximum value.
Draw the graph of the function
From Figure 2, it is observed that the graph has local maximum at
Note: If it has no hole at
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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