If R denotes the set of all real numbers then the function …

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

If R denotes the set of all real numbers then the function defined

One-one only

Onto only

Both one-one and onto

Neither one-one nor onto

Text Solution

Verified by Experts

The correct answer is:

Let

{For example, if x 1 =1.4, x 2 =1.5, then [1.4]=[1.5] =1}

f is not one-one.

Also, f is not onto as its range I (set of integers) is a proper subset of its co-domain R .

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