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Based on the way that the Merriam-Webster Online Dictionary breaks up this word, "hi-er-ar-chy" has four syllables.
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.