Question
Suppose that the relation \( H \) is defined as follows. \[ H=\{(5, d),(a, 0),(3,3),(1, a)\} \] Give the domain and range of \( H \). Write your answers using set notation.
Ask by Wright Wyatt. in the United States
Nov 02,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
Domain: \( \{5, a, 3, 1\} \)
Range: \( \{d, 0, 3, a\} \)
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Mind Expander
The domain of the relation \( H \) consists of all the first elements from the ordered pairs in the relation. In this case, the domain is \( \{5, a, 3, 1\} \). The range of the relation \( H \) includes all the second elements from the ordered pairs in the relation. Here, the range is \( \{d, 0, 3, a\} \). In set notation, the domain and range can be expressed as: - Domain: \( \{5, a, 3, 1\} \) - Range: \( \{d, 0, 3, a\} \)