Question bank/JEE Main/Mathematics

Function f(x) is defined such that [IMAGE] then
identify the INCORRECT option ?

Af(x) is non-differentiable at x = 2Bf(x) is continuous at x = 2Cf(x) is increasing at x = 2

Show answer and solution▾

$f(x)\left\{ \begin{matrix}
\frac{x^{2}}{2} + 4x + 1\ \ \ \ x > 2 \\
5x + 1\ \ \ \ x \leq 2
\end{matrix} \right.\ $

Source: Grass-G / M-23 Mathematics Paper 31 Dec FST.docx