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Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
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The value that results from the substitution of a given input into an expression or function is the output. The value substituted into an expression or function is an input.
A function that maps an input onto itself is called an identity function. In other words, the output of the function is the same as the input. The identity function is represented by the equation f(x) = x.
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