Question
Suppose that the relation \( G \) is defined as follows. \[ G=\{(8, c),(2,8),(5, c)\} \] Give the domain and range of \( G \). Write your answers using set notation.
Ask by Bolton Norton. in the United States
Feb 22,2025
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Tutor-Verified Answer
Answer
Domain = {2, 5, 8}, Range = {8, c}
Solution
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Bonus Knowledge
The domain of relation \( G \) is the set of the first elements from each ordered pair. In this case, the domain is \( \{2, 5, 8\} \). The range of relation \( G \) is the set of the second elements from each ordered pair. Here, the second elements are \( c \) (which appears in two pairs) and \( 8 \). Therefore, the range is \( \{8, c\} \). So, the final answer is: Domain: \( \{2, 5, 8\} \) Range: \( \{8, c\} \)