Concept explainers
To calculate:Which relation graphed below is a function?
Answer to Problem 18CR
The correct option is d .
Explanation of Solution
Given information:Four different graphs.
Formula used:Vertical line test. This test shows that if there is only one point in y corresponding to one value of x, then the graph is a function.
Calculation: Consider graph (a), draw a vertical line.
Clearly, there are more than one point corresponding to one value of x. Hence, this graph does not represent a function.
Consider graph (b), draw a vertical line.
Clearly, there are more than one point corresponding to one value of x. Hence, this graph does not represent a function.
Consider graph (c), draw a vertical line.
Clearly, there are more than one point corresponding to one value of x. Hence, this graph does not represent a function.
Consider graph (d), draw a vertical line.
Clearly, there is exactly one point corresponding to each unique value of x.
This graph represents a function.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Introductory and Intermediate Algebra for College Students (5th Edition)
Algebra and Trigonometry
Graphical Approach To College Algebra
Intermediate Algebra (7th Edition)
Elementary Algebra
Elementary Algebra: Concepts and Applications (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