Home › CBSE Class 11 › mathematics › Relations & Functions — Cartesian Product, Relations, Domain/Range/Codomain, Functions and their Graphs › R = {(2, 2), (2, 4), (3, 3), (4, 4)} is NOT a fu…
R = {(2, 2), (2, 4), (3, 3), (4, 4)} is NOT a function because:
AThe codomain is not specified
BThe first element 2 corresponds to two different images (2 and 4)
CNot all natural numbers are mapped
DThe relation contains too many pairs
Answer & Solution
Correct answer: B. The first element 2 corresponds to two different images (2 and 4)
A function requires each domain element to map to a single image. Here (2, 2) and (2, 4) both have first element 2 but different second elements — violating the function condition.
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