CUET Mathematics - The function f(x) = x^2 - x + 1 is | PYQs + Solutions

CUET Mathematics 2025 29 May Shift 2

Calculus

Easy

core

Increasing on $(\frac{-1}{2}, 1)$ and decreasing on $(0, \frac{1}{2})$

Increasing on $(\frac{1}{2}, \infty)$ and decreasing on $(-\infty, \frac{1}{2})$

Increasing on $(-\infty, \frac{1}{2})$ and decreasing on $(\frac{1}{2}, \infty)$

Increasing on $(-\infty, 1)$ and decreasing on $(1, \infty)$

✅ Correct Option: 2

Related questions:

13 May Shift 1

The function $f(x) = x + \frac{a^2}{x}$ , $a > 0$ , $x \neq 0$ has a local maxima at

3 June Shift 2

Which of the following functions has a local minima at $x = 0$ ?

(A) $f(x) = x^3$

(B) $f(x) = |x|$

(D) $f(x) = x^{-2}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 Slot 10

The marginal cost (MC) and marginal revenue (MR) functions of a product are $MC = 20 + \frac{x}{20}$ and $MR = 30$ respectively. If the fixed cost is 200, then the maximum value of the profit is:

CUET Mathematics 2025 29 May Shift 2 PYQs

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