CUET Mathematics - The function f(x) = 4 - 3x + 3x^2 - x^3 is (Here R is set of real numbers) | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Medium

core

decreasing on $\mathbb{R}$

increasing on $\mathbb{R}$

increasing on $(0, \infty)$

neither increasing nor decreasing on $(-\infty, 0)$

✅ Correct Option: 1

Related questions:

15 May Shift 2

The interval on which the function $f(x) = x^4 - \frac{x^3}{3}$ is strictly decreasing, is:

CUET Mathematics 2024 Slot 1

If $f(x)=2\left(\tan ^{-1}\left(e^{x}\right)-\frac{\pi}{4}\right)$ , then $f(x)$ is :

3 June Shift 1

Let f be a function defined by $f(x) = 2x^3 - 3x^2 - 36x + 2$ , then which of the following are correct?

(A) The critical points of f(x) are -2 and 3.

(B) The function f(x) increases in the interval $(3, \infty)$

(D) The function f(x) increases in the interval (-2,3)

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 1 PYQs