The interval in which the function f(x) = x^2 - 3x + 7 is increasing, is Option 1: (1/2, 7/3) Option 2: (3/2, ∞) Option 3: (0, 7/3) Option 4: (-∞, 3/2)

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

CUET Mathematics - The interval in which the function f(x) = x^2 - 3x + 7 is increasing, is | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 2

Calculus

Easy

applied

$\left(\dfrac{1}{2}, \dfrac{7}{3}\right)$

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

$\left(0, \dfrac{7}{3}\right)$

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

✅ Correct Option: 2

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List-I	List-II
Function f(x)	Interval for increasing/decreasing of function f(x)
---	---
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(C) $f(x) = x^2 - 6x + 9$	(III) Decreases on $(-\infty, -1)$
(D) $f(x) = -x^2$	(IV) Increases on $(-\infty, \infty)$

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