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Let \mathrm{y=[x]+|1-x|,-1 \leq x \leq 3}. Number of points, if any, where this function is not differentiable, is

Option: 1

2


Option: 2

3


Option: 3

4


Option: 4

5


Answers (1)

best_answer

The graph of the given function is shown below.

\mathrm{y=\left\{\begin{array}{cc} -x, & -1 \leq x<0 \\ 1-x, & 0 \leq x<1 \\ x, & 1 \leq x<2 \\ 1+x, & 2 \leq x<3 \end{array}\right.}

It is clear from the graph that the function is not differentiable at x=0,1,2,3.

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