If the function `f:RR toRR` is defined by `f(x)=|x|(x-sinx)`, then which of the following statement is TRUE?

Options

A. `f` is one-one, but NOT onto
B. `f` is onto , but NOT one-one
C. `f` is BOTH one-one AND onto
D. `f` is NEITHER one-one NOR onto

Answer

C