Concept explainers
To determine if the given graph represents y as a function of x .
Answer to Problem 6CLT
No, the given graph represents y as a function of x .
Explanation of Solution
Given information:
The graph:
Concept used:
A graph represents y as a function of x if for every unique value of x, over which the function is defined, function takes single value of y. Graphically it can be noticed by that every vertical line over that graph should intersect the graph only once.
Calculation:
To determine if the given graph represents y as a function of x check whether any vertical line intersect this graph more than one time.
Now, represented in below figure shows that there are several vertical lines which intersects this graph more than one time.
Thus, the graph does not represent y as a function of x .
Chapter 3 Solutions
Precalculus with Limits: A Graphing Approach
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning