CUET Mathematics - The function f: R o R (where R is set of real numbers) defined as f(x) = x^2 + 2x is | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Calculus

Easy

applied

decreasing in $(-\infty, -1]$

increasing in $(-\infty, -1]$

decreasing in $(-\infty, 2]$

increasing on $R$

✅ Correct Option: 1

Related questions:

22 May Shift 2

The maximum value of $\left(\frac{1}{x}\right)^x$ for $x > 0$ is

21 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Maximum value of $f(x) = \sin^2 x - \cos^2 x$ , $\forall x \in (\pi, 2\pi)$ is	(I) 0
(B) Minimum value of $f(x) = \sin x \cos x$	(II) 1
(C) Point of Minima of $f(x) = x^x$ $(x > 0)$	(III) $-\frac{1}{2}$
(D) Maximum value of $f(x) = -x^{2026}$	(IV) $\frac{1}{e}$

Choose the correct answer from the options given below:

13 May Shift 2

The absolute maximum value of the function $f(x) = 4x - \frac{1}{2}x^2$ in the interval $\left[-2, \frac{9}{2}\right]$ is

CUET Mathematics 2025 30 May Shift 2 PYQs