Find the domain and range and state whether it is a function or not.
The domain is given by
And the range is given by
The graph of the relation is not a function.
Given:
Concept Used:
Vertical line test:
The graph of a relation is a represents a function if a vertical line intersects the graph at exactly one point. If the vertical line intersects the graph of the relation at more than one point, then the relation will not be a function.
Calculation:
Domain is the set of x -values for which the function is defined and the range is the set of y -values for which the function is defined.
So, from the given graph, the x -values are from negative three to positive three. On the other hand, y -values are from negative one to positive one.
Therefore,
The domain is given by
And the range is given by
Now, draw a vertical line in the given graph
The vertical line intersects the graph more than one point. Hence, the graph of the relation is not a function.
Chapter 2 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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