The main function of a sifter is to sift through different flours.
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Because many of them are powders. The same weight of a powder can have many different volumes, depending on how much air has been fluffed into it. For example: When you sift flour, you get more volume out of the sifter than you put into it, although the sifter obviously doesn't change the weight of the flour.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
The cubic function.
Range
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.