To calculate:The domain and range of the given relation and identify if the given relation is a function.
Answer to Problem 3OE
The
Explanation of Solution
Given information:The relation is
For relation
The domain of a relation ( R ) is set of all first components of the ordered pair belonging to R . Hence the domain is
The range of a relation ( R ) is set of all second components of the ordered pair belonging to R . Hence the range is
For a relation to be a function
i) All elements of the set A must be associated to elements in set B.
ii) Allelements of the set A must be associated to a unique element in set B.
Since the element (-1) of the domain is related to two element in the range (0& 1) of the relation, the given relation is not a function.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Elementary Statistics (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Pre-Algebra Student Edition
Thinking Mathematically (6th Edition)
Algebra and Trigonometry (6th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education