Let $[x]$ denote the greatest integer less than or equal to $x$. Then the number of points where the function $y=[x]+|1-x|,-1 \leq x \leq 3$ is not differentiable, is

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Aicharya · Accepted Answer

The given function $y=[x]+|1-x|$ have point of discontinuity at $x=0,1,2$ and 3 for $-1 \leq x \leq 3$. So function $y=[x]+\|-x \mid$ is not differentiable at 4 points. Hence, option (4) is correct.

Let \([x]\) denote the greatest integer less than or equal to \(x\). Then the number of points where the…

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