AP EAPCET 19-Aug-2021 Shift 1 Paper

Which statement among the following is true?
(i) The function f(x)=x|x| is strictly increasing on R−{0}.
(ii) The function f(x)=log(1∕4)x is strictly increasing on (0,∞).
(iii) A one-one function is always an increasing function.
(iv) f(x)=x1∕3 is strictly decreasing on R