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The Erector Set was patented by the A.C. Gilbert Company in 1911 at the Erector Square factory in New Haven, CT.
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.