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In Problems 1 and 2, determine whether each relation represents a function. For each function, state the domain and range.
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Whether the provided relation is function or not and state the domain and range.
Answer to Problem 1RE
Solution:
The provided relation is a function. The domain of this relation is , and its range is .
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 and 4. The outputs are 0,3 and 0
This relation is a function because there are no ordered pairs with the same first element and different second elements.
The domain of this relation is , and its range is .
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Chapter 1 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
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