CUET Mathematics - Let f: R -> R be a function defined as f(x) = x^4. Which one of the following is true? | PYQs + Solutions

CUET Mathematics 2025 13 May Shift 1

Algebra

Easy

core

$f$ is one-one and onto

$f$ is one-one but not onto.

$f$ is onto but not one-one.

$f$ is neither one-one nor onto.

✅ Correct Option: 4

Related questions:

26 May Shift 2

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:

26 May Shift 2

The value of $\left|\frac{\log_5 10}{2} - \frac{2}{\log_{10} 5}\right|$ is

16 May Shift 1

Match List-I with List-II

Where ℝ is set of real numbers

List-I	List-II
(A) f: ℝ → ℝ s.t f(x) = x⁴ is	(I) one-one, Into
(B) f: ℝ → [0, ∞) s.t f(x) = x⁴ is	(II) many-one, into
(C) f: [0, ∞) → ℝ s.t f(x) = x⁴ is	(III) one-one, onto
(D) f: [0, ∞) → [0, ∞) s.t f(x) = x⁴ is	(IV) many-one, onto

Choose the correct answer from the options given below:

CUET Mathematics 2025 13 May Shift 1 PYQs

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