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

The function f(x)=x-[x] , where [⋅] denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only (c) continuous at non-integer points only (d) differentiable everywhere

The function f(x)=x-[x] , where [⋅] denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only (c) continuous at non-integer points only (d) differentiable everywhere

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

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

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

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

The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integer function ) is discontinuous at

The domain of the function f(x) =[x]sin pi/[x+1] , where [] denote greatest integer function is:

The function f(x)=x-[x], where | denotes the greatest integer function is (a) continuous everywhere (b) continuous at integer points only ( continuous at non- integer points only (d) differentiable everywhere