A relationship (or relation) between inputs and outputs (usually referred to as x and y) can only be called a function if and only if each element of the input is paired with exactly one element of the output. That is, each x must have only one y, and no x's can be left without a y. Here, we look at input and output relations represented in tables. To find an inverse, swap all elements of the input and output (that is, switch the x column and the y column). The set of all inputs, usually the x's, is called the domain, and the set of all outputs, usually y's, is called the range.
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