To graph:The given relation and identify if the given relation is a function. If it is not a function draw a vertical line that intersect the graph more than once.
Explanation of Solution
Given information:The relation is
Graph:
The relation is
Interpretation:
The relation 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.
Sincethe element (1) of the domain is related totwo element in the range (1 & 2) of the relation, the given relation isnot a function.
Therefore it can be observed in the graph above that a vertical line intersects the graph at more than one point at
Hence the given relation is not a function.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Elementary and Intermediate Algebra
College Algebra (6th Edition)
College Algebra with Modeling & Visualization (5th Edition)
College Algebra (10th 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