CUET Mathematics 2025 21 May Shift 1 PYQs

Which of the following are correct?

(A) The function $f(x) = 3x+12$ is increasing on R.

(B) The function $f(x) = e^{2x}$ is decreasing on R.

(C) The function $f(x) = x^2-x-1$ is neither increasing nor decreasing on (-1, 1).

(D) The function $f(x) = x^3-3x^2+4x$ is increasing on R.

Choose the correct answer from the options given below:

If $f(x) = x^2 - 4x + 13, x \in \mathbb{R}$, then which of the following are correct?

(A) $x = 2$ is a stationary point of $f(x)$.

(B) $f(x)$ is increasing function on $(2, \infty)$

(C) $f(x)$ have maxima at $x = 2$

(D) $f(2) = 9$

Choose the correct answer from the options given below:

For the function $f(x) = e^{-2x}(2-x)^2$, the point of local maxima is: