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What is the algebraic definition of function?

Lesson Summary. An algebraic function is an equation that allows one to input a domain, or x-value and perform mathematical calculations to get an output, which is the range, or y-value, that is specific for that particular x-value. There is a one in/one out relationship between the domain and range.

What is an example of a function?

The function is a relationship between the “input,” or the number put in for x, and the “output,” or the answer. So the relationship between 20 and 60, for example can be described as “3 times 30 is 60.” While the most common notation for functions is f(x), the actual notation can vary.