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State for each of the following relation...

State for each of the following relations whether it is function or not. (Write Yes or No)
`{(1,2),(2,2),(3,2),(4,2)}`

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To determine whether the given relation is a function, we need to check if every input (first element of each ordered pair) is associated with exactly one output (second element of each ordered pair). ### Step-by-Step Solution: 1. **Identify the Relation**: The given relation is `{(1,2), (2,2), (3,2), (4,2)}`. 2. **List the Inputs and Outputs**: - Inputs (first elements): 1, 2, 3, 4 - Outputs (second elements): 2, 2, 2, 2 3. **Check for Function Criteria**: - A relation is a function if every input is associated with exactly one output. - Here, we see that: - Input 1 maps to output 2 - Input 2 maps to output 2 - Input 3 maps to output 2 - Input 4 maps to output 2 4. **Conclusion**: - All inputs (1, 2, 3, 4) are associated with the same output (2). - Since each input has exactly one output, this relation satisfies the definition of a function. Therefore, the answer is **Yes**, it is a function.
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