Question

Suppose that the relation G is defined as follows. G = {(0, m), (3, n), (9, 9), (n, 3)) Give the domain and range of G. Write your answers using set notation. ? domain = M range Π

Answer 1

To determine the domain and range of the relation \( G = \{(0, m), (3, n), (9, 9), (n, 3)\} \), we will extract the first and second elements of the ordered pairs.

**Domain**: The domain of a relation is the set of all first elements of the ordered pairs. From the pairs in \( G \):
- First element of (0, m) is 0
- First element of (3, n) is 3
- First element of (9, 9) is 9
- First element of (n, 3) is \( n \)

Thus, the domain can be represented as:
\[
\text{Domain} = \{0, 3, 9, n\}
\]

**Range**: The range of a relation is the set of all second elements of the ordered pairs. From the pairs in \( G \):
- Second element of (0, m) is \( m \)
- Second element of (3, n) is \( n \)
- Second element of (9, 9) is 9
- Second element of (n, 3) is 3

Thus, the range can be represented as:
\[
\text{Range} = \{m, n, 9, 3\}
\]

Therefore, we can summarize the domain and range of the relation \( G \) as follows:

\[
\text{Domain} = \{0, 3, 9, n\}
\]
\[
\text{Range} = \{m, n, 9, 3\}
\]