The function $f(x) = x^{2} + 2x - 5$ is strictly increasing in the interval

What type of function is $f(x) = \tan x - x$?

Let $f$ be a function defined on $[a, b]$ such that $f^{\prime}(x) > 0$ for all $x \in (a, b)$. Prove that $f$ is an increasing function on $(a, b)$.

For a real number $a$,if a real-valued function $f(x) = 4x^3 + ax^2 + 3x - 2$ is monotonic in its domain,then the range of $a$ is

Let $f(x) = \int e^x (x - 1)(x - 2) dx$. Then $f$ decreases in the interval -

$A$ function is matched below against an interval where it is supposed to be increasing. Which of the following pairs is incorrectly matched?
Interval | Function