Look at this set of ordered pairs: \[ \begin{array}{l}(3,14) \\ (17,-2) \\ (9,13) \\ (17,9)\end{array} \] Is this relation a function? yes no

A relation is considered a function if every input (or "x" value) is associated with exactly one output (or "y" value). In the ordered pairs you've listed, the input \(17\) appears twice: once with an output of \(-2\) and once with an output of \(9\). This means the same input corresponds to two different outputs, which violates the definition of a function. Therefore, this relation is not a function. In essence, for a relation to be a function, you can think of it like a one-way street—each address (input) should only have one mailbox (output) to receive mail! When there are two mailboxes for the same address, that's a sign of confusion and chaos—so no function here!