What is the fundamental difference between a relation and a funct… - Vidyadip

Question

What is the fundamental difference between a relation and a function? Is every relation a function?

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Answer

Function is a type of relation. But in a function no two ordered pairs have the same first element. For eg. $R_1$ and $R_2$ are two relations.
Clearly, $R_1$ is a function, but $R_2$ is not a function because two ordered pairs $(1, 2)$ and $(1, 4)$ have the same first element.
This means every function is a relation but every relation is not a function.

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