what is the difference between a relation and a function
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The difference between a relation that is a function and a relation that is not a function is that a relation that is a function has inputs relating to one and only one output. When a relation is not a function, this is not the case.
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A relation consists of two sets of elements called inputs and outputs, where the input is related to the output in some way. In our example, the cost is the input, and the number of swatches is the output. We can also represent the relation using ordered pairs as follows.
In mathematics, a function is a relation in which no input relates to more than one output. In our example, we would say the number of swatches you buy is a function of the cost.
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