Mark the correct alternative in the following:

Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on $(a, b)$ is that $f^{\prime}(x)>0$ for $a l l ~ x \in(a, b)$

Given:-

For $x<0$

$f(x)=-1$

for $0

$f(x)=2 x-1$

for $x>1$

$f(x)=1$

Hence $f(x)$ will increasing in $0