Whether the provided relation is function or not and state the domain and range for the function.
Answer to Problem 2RE
Solution:
This relation is not a function because there are two ordered pairs, and that have the same first element and different second elements.
Explanation of Solution
Given:
It is provided in the problem that the relation of the sets is .
Formula used:
Definition: Let and be two nonempty sets, A function from into is a relation that associates with each elements of exactly one element of .
The set is called the domain of the function. For each element in , the corresponding element in is called the value of the function at , or the image of . The set of all images of the elements in the domain is called the range of the function.
The inputs of the provided sets are 4, 2 and 4. The outputs are and 0
This relation is not a function because there are two ordered pairs, and that have the same first element and different second elements.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus
Calculus & Its Applications (14th Edition)
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th 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