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Determine whether the relation is a function. Give the domain and range for the relation. \( \{(4,7),(4,8),(4,9)\} \) The domain of the relation is (Use a comma to separate answers as needed.)

Ask by Luna Ward. in the United States
Feb 15,2025

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The relation is not a function because the input 4 is paired with multiple outputs. The domain is 4, and the range is 7, 8, 9.

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In this relation, we can see that the first element (the input) is the same for multiple pairs—specifically, the value 4 corresponds to three different outputs (7, 8, and 9). By definition, for a relation to be a function, each input should have exactly one output. Since in this case, the input 4 has multiple outputs, the relation is not a function. The domain of the relation is simply the set of all first elements: \( \{4\} \). The range, which consists of all second elements, is: \( \{7, 8, 9\} \).

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