Subjects algebra

Relation Function 490464

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Relation Function 490464


1. **State the problem:** We are given the set of ordered pairs \((16, -18), (1, 18), (16, 10), (1, 10)\) and asked whether this relation is a function. 2. **Recall the definition of a function:** A relation is a function if every input (or first element of each ordered pair) corresponds to exactly one output (or second element). 3. **Analyze the inputs:** The inputs here are 16 and 1. 4. **Check the outputs for each input:** - For input 16, the outputs are -18 and 10. - For input 1, the outputs are 18 and 10. 5. **Conclusion:** Since input 16 corresponds to two different outputs (-18 and 10), and input 1 also corresponds to two different outputs (18 and 10), this relation does not satisfy the definition of a function. **Final answer:** No, this relation is not a function.