How To Determine If A Relation Is A Function?

Check whether each input has exactly one output

If any input is paired with more than one output, it is not a function

If every input is paired with only one output, it is a function

In a set of ordered pairs, look for repeated first coordinates with different second coordinates

In a table, make sure no x-value appears with more than one y-value

On a graph, use the vertical line test

If any vertical line intersects the graph more than once, it is not a function

If every vertical line intersects the graph at most once, it is a function

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