CUET Mathematics 2022 6 Aug Shift 2 PYQs

The minimum value of the function $f(x) = x^3 + (10-x)^3$ occurs at:

If $x = -1$ and $x = -2$ are the extreme points of $f(x) = \alpha\log|x| + \beta x^2 + x$ then

The absolute maximum value of the function $f(x) = 4x - \frac{1}{2}x^2$ in the interval $\left[-2, \frac{9}{2}\right]$ is