List of top Mathematics Questions on Increasing and Decreasing Functions asked in KCET

The function $x^x$, $x > 0$ is strictly increasing at:
If $f(x) = x e^{x^{1-x}}$, then $f(x)$ is:
The function f(x) = x2 - 2x is strictly decreasing in the interval
The interval in which the function $f(x) = x^3 - 6x^2 + 9x + 10$ is increasing in