Question
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Look at this set of ordered pairs: \( \begin{array}{l}(17,-2) \\ (5,0) \\ (17,20) \\ (-7,16) \\ (3,9)\end{array} \) Is this relation a function?

Ask by Hardy Henry. in the United States
Mar 19,2025

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Answer

This relation is not a function because the input 17 is paired with both -2 and 20.

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Extra Insights

To determine if the given set of ordered pairs represents a function, we need to check if each input (the first element of each pair) corresponds to exactly one output (the second element of each pair). In this set, the first element "17" appears twice: in the pairs (17,-2) and (17,20). Since "17" is associated with two different outputs (-2 and 20), this relation does not satisfy the definition of a function. So, nope, this relation is not a function! But hey, don’t worry if functions sometimes seem tricky—they’re just relations that behave nicely!

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