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Whether the provided relation is function or not and state the domain and range for the function.
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Answer to Problem 2RE
Solution:
This relation is not a function because there are two ordered pairs, and that have the same first element and different second elements.
Explanation of Solution
Given:
It is provided in the problem that the relation of the sets is .
Formula used:
Definition: Let and be two nonempty sets, A function from into is a relation that associates with each elements of exactly one element of .
The set is called the domain of the function. For each element in , the corresponding element in is called the value of the function at , or the image of . The set of all images of the elements in the domain is called the range of the function.
The inputs of the provided sets are 4, 2 and 4. The outputs are and 0
This relation is not a function because there are two ordered pairs, and that have the same first element and different second elements.
Chapter 2 Solutions
Precalculus Enhanced with Graphing Utilities
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