If is a function such that

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

f:\mathbb{R}\to\mathbb{R}

is a function such that

f(x)=\begin{cases}x|x|-4, & x\in\mathbb{Q}\\x|x|-\sqrt{3}, & x\notin\mathbb{Q}\end{cases}

, then

f(x)

is (a) one-one, onto (b) many-one, onto (c) one-one, into (d) many-one, into