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The acronym RER could stand for a number of different interpretations. One could refer to the rapid transfer system used in France, or it could be rough endoplasmic reticulum in biology. There are even more meanings, so it is usually best not to use acronyms.
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.