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RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS2 Marks
Question
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?
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Answer

Since the relation R is defined on N.Therefore,
The domain of R is the set of natural numbers N. The co-domain 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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