A) 5
B) 0
C) 2
D) none of these
Correct Answer: D
Solution :
\[y=\left[ x \right]+\left| 1-x \right|\operatorname{for}-1\le x<3\] |
(i) For \[-1\le x<1,y=-1+1-x=-x\] |
(ii) For \[0\le x<1,\,\,\,\,\,\,y=0+1-x=1-x\] |
(iii) For \[1\le x<2\,\,\,\,\,\,y=1+x-1=x\] |
(iv) For \[2\le x<3,\,\,\,\,\,\,y=2+x-1=x+1.\] |
Given function is discontinuous at |
\[x=0,1,2,\] |
Given function is not differentiable at |
\[x=0,1,2.\] |
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