CUET Mathematics - The function f(x) = 6 - 6x - 2x^2 | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 2

Calculus

Medium

common

Strictly decreasing for $x < -\frac{3}{2}$

Strictly increasing for $x < \frac{3}{2}$

Strictly decreasing for $x > -\frac{3}{2}$

Strictly increasing for $x > \frac{3}{2}$

✅ Correct Option: 3

Related questions:

15 May Shift 2

The real valued function $f(x) = 12x^\frac{4}{3} - 6x^\frac{1}{3}, x \in [-8, 8]$ has absolute maximum value equal to

22 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

22 May Shift 2

Match List-I with List-II

List-I	List-II
(A) Marginal average cost if cost function $C(x) = \frac{50}{\sqrt{x}}$	(I) $50\sqrt{x}$
(B) Marginal average cost if cost function $C(x) = 50\sqrt{x}$	(II) $-\frac{75}{x^2\sqrt{x}}$
(C) Revenue function if demand function $P=\frac{50}{\sqrt{x}}$	(III) $\frac{-25}{x\sqrt{x}}$
(D) Marginal revenue if demand function $P=50\sqrt{x}$	(IV) $75\sqrt{x}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 21 May Shift 2 PYQs