MCQ
Let $f:\left[-\frac{1}{2}, 2\right] \rightarrow \mathbb{R}$ and $g:\left[-\frac{1}{2}, 2\right] \rightarrow \mathbb{R}$ be functions defined by $f(x)=\left[x^2-3\right]$ and $g(x)=|x| f(x)+|4 x-7| f(x)$, where $[y]$ denotes the greatest integer less than or equal to $y$ for $y \in \mathbb{R}$. Then
($A$) $f$ is discontinuous exactly at three points in $\left[-\frac{1}{2}, 2\right]$
($B$) $f$ is discontinuous exactly at four points in $\left[-\frac{1}{2}, 2\right]$
($C$) $g$ is $NOT$ differentiable exactly at four points in $\left(-\frac{1}{2}, 2\right)$
($D$) $g$ is $NOT$ differentiable exactly at five points in $\left(-\frac{1}{2}, 2\right)$
- A$B,A$
- B$B,D$
- ✓$B,C$
- D$B,C,A$