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?

Explanation

Here, R={x,y):y=2x;x,y∈N}

Domain = set of natural numbers = `N`

Co-domain = set of natural number = `N`

Range = set of even natural numbers

As every natural number is related to unique image, so this relation is a function.