Check continuity and differentibilty of `f(x)=[x]+|1-x|`, [ ] denotes the greatest integer function

Check continuity and differentibilty of f(x)=[x]+|1-x|,[1 denotes the greatest integer function

If f(x)=[2x], where [.] denotes the greatest integer function,then

If f(x)=[sin^(2) x] ([.] denotes the greatest integer function), then

f(x)=log(x-[x]), which [,] denotes the greatest integer function.

Let f(x)=[|x|] where [.] denotes the greatest integer function, then f'(-1) is

The function,f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x)=[|x|], wherel.] denotes the greatest integer function,then f'(-1) is

Find the points of continuity or discontinuity and differentiability or non- differentiability of...f(x)=|[x]x| in 1<=x<=4, where [] denotes greatest integer function.

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at