Let $f:\left[\frac{-1}{2},2\right]\to Randg:\left[\frac{-1}{2},2\right]\to R$ be function defined by $f\left(x\right)=\left[x^2-3\right]andg\left(x\right)=\left|x\right|f\left(x\right)+\left|4x-7\right|f\left(x\right)$  where [y] denotes the greatest integer less than or equal to y for $y\in R$ then

$g$ is not differentiable  exactly at four points in $\left(\frac{-1}{2},2\right)$

$f$ is discontinuous exactly at three points in $\left(\frac{-1}{2},2\right)$       

$f$  is discontinuous exactly at four points in $\left(\frac{-1}{2},2\right)$

 $g$ is not differentiable  exactly at five points in $\left(\frac{-1}{2},2\right)$