The domain of the function f= {(1, 3), (3, 5), (2, 6)} is

Options

A. 1, 3 and 2
B. {1, 3, 2}
C. {3, 5, 6}
D. 3, 5, and 6

Answer

To find the domain of the function \( f = \{(1, 3), (3, 5), (2, 6)\} \), we need to identify all the first elements (or inputs) of the ordered pairs in the function.

### Step-by-Step Solution:

1. **Identify the Ordered Pairs**: The function \( f \) is given as a set of ordered pairs: \( (1, 3) \), \( (3, 5) \), and \( (2, 6) \).

2. **Extract the First Elements**: The first element of each ordered pair represents the input value. From the pairs:
- From \( (1, 3) \), the first element is \( 1 \).
- From \( (3, 5) \), the first element is \( 3 \).
- From \( (2, 6) \), the first element is \( 2 \).

3. **List the Unique Inputs**: Now, we compile the unique first elements:
- The inputs are \( 1, 3, \) and \( 2 \).

4. **Write the Domain**: The domain of the function is the set of all unique first elements. Therefore, the domain is:
\[ \text{Domain} = \{1, 2, 3\} \]

### Final Answer:
The domain of the function \( f \) is \( \{1, 2, 3\} \).