Which of the following statements is true for the function  $f\left(x\right)=$$\{\begin{array}{cc}\sqrt{x},& x\ge 1\\ x^3,& 0\le x\le 1\\ \frac{x^3}{3}-4x,& x<0\end{array}$

Function is increasing in  $(-\mathrm{\infty },-2)\cup (0,\mathrm{\infty })$  and decreasing in (–2,0).

$x=–2$ is local maxima and $x=0$  is local minima. it is  derivable  $\mathrm{\forall }x\in R-\{0,1\}$   and continuous  $\mathrm{\forall }x\in R$Hence it changes sign twice, once at x=-2 and another at x=0. .