To state: the domain and range of relation. Then determine whether relation is a function, if it is determine if it is one-to-one, onto, both , or neither.
Answer to Problem 61STP
Domain :
Range :
The relation is not a function.
Explanation of Solution
Given information:
Formula used:
A function is a relation in which each element of the domain is paired with exactly one element in the range.
One-to −One function: Each element of the domain pairs exactly one unique element of the range.
Onto function: Each element of the range corresponds to an element of the domain.
Calculation:
According to the question ,
Domain :
Range :
The relation is not a function because element -4 of domain has been mapped to two elements of the range 3 and 9.
Hence , the relation is not a function.
Chapter 2 Solutions
Algebra 2
Additional Math Textbook Solutions
Elementary Algebra
College Algebra
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra (7th 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