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Let N be the set of natural numbers and ...

Let `N` be the set of natural numbers and the relation'R be defined on `N` such that `R={(x, y): y=2 x, x, doty in N}` What, is the domain, codomain and range of R? Is this relation a function?

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The domain of `R` is the set of natural numbers `N`. The codomain is also `N`. The range is the set of even natural.numbers
. Since every natural number `n` has one and only one image, this relation is a function.
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