Mathematics

Problem

Define

g:\mathbb{R}\to\mathbb{R}

g(x)=\begin{cases} x+1,& x<0,\\ x^{2}+1,& x\ge 0. \end{cases}

The function

g

is: a) onto but not one–one b) both one–one and onto c) one–one but not onto d) neither one–one nor onto