CUET Mathematics - A function f: R o \x R: -1 < x < 1\ is defined as f(x) = x/1+|x|, then f is: | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Algebra

Medium

core

neither one-one nor onto

one-one only

onto only

both one-one and onto

✅ Correct Option: 4

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Let $f: \mathbb{R} o \mathbb{R}$ be defined as $f(x) = [x]$ , where [x] denotes the greatest integer less than or equal to x. Then which of the following statements are correct?

(A) f is one-one but not onto

(B) f is not onto

(D) f is one-one and onto

Choose the correct answer from the options given below:

CUET Mathematics 2025 19 May Shift 1 PYQs

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