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I assume we are talking single-valued functions. If this is the case, any table with values for the function, you just have to look at the inputs to make sure two of them are not the same (in elementary algebra classes this is referred to as the "Vertical Line Test").

For example, say we have a table of numbers x and y:

x | y

------

10|15

12|15

This is a function because all the x values are different. Likewise we can say that were the table:

x | y

------

15|10

15|12

it would not be a function because we have multiple outputs originating from a single input.

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Q: How can you tell that a table is a function?
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