Erickson Moreno
04/07/2024 · Primary School
Suppose that the relation \( G \) is defined as follows. \[ G=\{(5, b),(0,2),(2, a),(5, d)\} \] Give the domain and range of \( G \). Write your answers using set notation.
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Step-by-step Solution
The domain of a relation is the set of all first elements (or inputs) of the ordered pairs, while the range is the set of all second elements (or outputs) of the ordered pairs.
For the relation \( G = \{(5, b), (0, 2), (2, a), (5, d)\} \):
- The first elements (domain) are: \( 5, 0, 2, 5 \). When we list them without repetition, we get \( \{0, 2, 5\} \).
- The second elements (range) are: \( b, 2, a, d \). When we list them without repetition, we get \( \{2, a, b, d\} \).
Thus, the domain and range of \( G \) are:
\[
\text{Domain} = \{0, 2, 5\}
\]
\[
\text{Range} = \{2, a, b, d\}
\]
Quick Answer
\[
\text{Domain} = \{0, 2, 5\}
\]
\[
\text{Range} = \{2, a, b, d\}
\]
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