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You can represent any given function in as many different ways as you want.
A function is a relation where one variable specifies a single value of another variable. Presenting relation and function can be done different ways including verbal, numerical, algebraic, and graphical.
A formula or graph are two ways to describe a math function. How a math function is described depends on the domain of the function or the complexity of the function.
In the word "function" you have 8 letters. 6 different letters and 2 equal letters.The number of different arrangements that are possible to get are:6!∙8C2 = 720∙(28) = 20 160 different arrangements.