Concept explainers
To find: The domain and range of the function.
Answer to Problem 5RE
Solution:
The domain of the function f (x) is
The range of the function f (x) is
Explanation of Solution
Given:
The function
Calculation:
The domain is the set of all input values of the function for which the function is real and defined.
Consider the denominator of the function
Hence, the function is undefined when
Therefore, the domain of the function is,
And, the interval notation of the domain of
The range is the set of all output values of the function.
Observe that the function
Thus, the range of the function is
Chapter 1 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