The interval in which the function f(x) = 10 - 6x - 2x^2 is decreasing is : Option 1: (-3/2, 3/2) Option 2: (-∞, -3/2) Option 3: (-3/2, ∞) Option 4: (-∞, 3/2)

The answer is '(-3/2, ∞)'. View full solution:

CUET Mathematics - The interval in which the function f(x) = 10 - 6x - 2x^2 is decreasing is : | PYQs + Solutions

CUET Mathematics 2023 15 June Shift 2

Calculus

Easy

$\left(\frac{-3}{2}, \frac{3}{2}\right)$

$\left(-\infty, \frac{-3}{2}\right)$

$\left(\frac{-3}{2}, \infty\right)$

$\left(-\infty, \frac{3}{2}\right)$

✅ Correct Option: 3

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Match List-I with List-II

List-I	List-II
(a) If $x = t^2$ and $y = t^3$ , then $\frac{d^2y}{dx^2}$ at $t = 1$	(i) $-2$
(b) If $f(x) = \sqrt{x} + 1$ , then $f''(1)$	(ii) $-1$
(c) The minimum value of $f(x) = 9x^2 + 12x + 2$ is	(iii) $\frac{3}{4}$
(d) The point of inflexion of the function $f(x) = (x-2)^4 (x+1)^3$ is	(iv) $-\frac{1}{4}$

Choose the correct answer from the options given below