Concept explainers
To state: The geometrical representation of the graph whenever the function f is continuous on
Answer to Problem 2E
The graph of f has no hole or break, jump or vertical asymptotes.
Explanation of Solution
Definition used: “A function f is continuous on an interval if it is continuous at every number in the interval”.
Calculation:
By definition of continuous, f is continuous on an interval
Thus, for every
Geometrically, the entire graph has been drawn by without taking a pen from the paper on the interval
Chapter 2 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