Let defined by then is

Maths Functions, Limits, Continuity and Differentiability Karnataka - CET Previous Year Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

onto but not one-one

one-one and onto

neither one-one nor onto

one-one but not onto

Text Solution

Verified by Experts

The correct answer is:

: We have, and

Thus, but

is not one-one.

In order to find that is onto or not, consider an arbitrary element .

If is odd, then is also odd and

If is even, then is also even and

Thus, for each , there exists its pre-image in .

is onto.

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