Whether: both relations are functions.
Answer to Problem 2PS
Both relations are functions
Explanation of Solution
Given information:
For the numbers 2 through 9 on a cellphone keypad consider two relations: one mapping numbers onto letters, and the other mapping letters onto numbers.
Calculation:
Now, it is known that mapping is done from the domain to the range
Consider the following case:
If we’re mapping numbers onto letters, then numbers are part of part of the domain and letters are part of the range.
But on a telephone keypad, a single number can map to more than one letter. In other words.
A single value in the domain can map to multiple Values in the range, which means that this is not a function, so it’s just a relation.
And consider the following case:
It is known that if we’re mapping letters onto numbers; however, then letters are part of the domain, and numbers are part of the range.
But on an ordinary telephone keypad, no two numbers have the same letters. In other words, No two values in the range share a common value in the domain, so this is a function and since every function is a relation, so this is a relation.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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