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In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2.
A math function table is a table used to plot possible outcomes of a function, which is a kind of rule. The table results can usually be used to plot results on a graph. To fully understand function tables and their purpose, you need to understand functions, and how they relate to variables.