MCQ
The points of discontinuity of the function $\text{f(x)}=\begin{cases}\frac{1}{5}(2\text{x}^2+3),&\text{x}\leq1\\6-5\text{x},&1<\text{x}<3\\\text{x}-3,&\text{x}\geq3\end{cases}$ is $($are$) :$
- A$x = 1$
- ✓$x = 3$
- C$x = 1, 3$
- DNone of these
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$(i)$ for $p \geqslant 0$ , $f(x) = 0$ has one negative root and $f(x)$ is monotonic
$(ii)$ for $-1 < p < 0$ , $f(x)$ = $0$ has one negative root and $f(x)$ is nonmonotonic
$(iii)$ for $p < 0$ , $f(x)$ = $0$ has three real and distinct roots.