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Discuss the continuity and differentia...

Discuss the continuity and differentiability of the function `f(x)=|x|+|x-1|` in the interval `(-1,2)dot`

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`f(x)=|x|+|x-1|`
We know that,
`|x|=-x for x<0`
`|x|=x for x>0`
`|x-1|=-(x-1)=-x+1 for x-1<0 or x<1`
`|x-1|=x-1 for x-1>0 or x>1`
Therefore,
`f(x)=-x-x+1=-2 x+1 x ` in `(-1,0)`
...
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