Let $N$ be the set of natural numbers and the relation $R$ be defined on $N$ such that $R = \{(x, y) : y = 2x, x, y \in N \}$. What is the domain,codomain,and range of $R$? Is this relation a function?
(N/A) The domain of $R$ is the set of natural numbers $N$.
The codomain of $R$ is the set of natural numbers $N$.
The range of $R$ is the set of even natural numbers,i.e.,$\{2, 4, 6, \dots \}$.
Since every element $x \in N$ has a unique image $y = 2x$ in $N$,this relation is a function.
The codomain of $R$ is the set of natural numbers $N$.
The range of $R$ is the set of even natural numbers,i.e.,$\{2, 4, 6, \dots \}$.
Since every element $x \in N$ has a unique image $y = 2x$ in $N$,this relation is a function.
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