$\text{ Let }f:\left[-\frac{1}{2},2\right]\to \mathrm{ℝ}\text{ and }g:\left[-\frac{1}{2},2\right]\to \mathrm{ℝ}\text{ be functions defined by }f\left(x\right)=\left[x^2-3\right]\text{ and }$$g\left(x\right)=\left|x\right|f\left(x\right)+|4x-7|f\left(x\right),\text{ where }\left[\mathrm{y}\right]$

denotes the greatest integer less than or equal to y, then 

$\text{ fis discontinues exactly at three points in }\left[-\frac{1}{2},2\right]$

$\text{ fis discontinues exactly at four points in }\left[-\frac{1}{2},2\right]$

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

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