Question
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 \( \{4\} \). (Use a comma to separate answers as needed.) The range of the relation is \( \{7,8,9\} \). (Use a comma to separate answers as needed.) Is the relation a function? Choose the correct answer below. Yes No
Ask by Ray Spencer. in the United States
Feb 03,2025
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Tutor-Verified Answer
Answer
The relation is not a function. The domain is {4} and the range is {7, 8, 9}.
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Mind Expander
In this relation, we have multiple pairs that share the same first element \(4\), with different second elements \(7\), \(8\), and \(9\). For a relation to be classified as a function, each input must correspond to only one output. Since \(4\) maps to three different values, this relation does not meet the criteria. To clarify, the domain of the relation is indeed \( \{4\} \) and the range is \( \{7, 8, 9\} \). So, the answer is: No.