Problem

Determine whether the following relation is a function: \( \{ (1,2), (2,3), (3,4), (4,2), (5,2) \} \)

Answer

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Answer

Since each x-value corresponds to only one y-value, the relation is a function.

Steps

Step 1 ：A relation is a function if every input (x-value) corresponds to exactly one output (y-value).

Step 2 ：Let's examine the x-values in the given relation: 1, 2, 3, 4, 5.

Step 3 ：Each x-value corresponds to a unique y-value: 1 to 2, 2 to 3, 3 to 4, 4 to 2, 5 to 2.

Step 4 ：Since each x-value corresponds to only one y-value, the relation is a function.

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