[" 10.Prove that the greatest integer "10" incuoll "],[qquad f(x)=[x],0

Prove that the greatest integer function defined by f(x)=[x],0

Prove that the greatest integer function defined by f(x) = [x], 0 < x < 3 is not differentiable at x = 1 and x = 2 .

Prove that the greatest integer function defined by f(x) = [x], 0

Prove that the greatest integer function defined by f(x) =[x] ,0 lt x lt 2 is not differentiable at x=1

Prove that the greatest integer function defined by f(x)= [x], 0 lt x lt 3 is not differentiable at x=1 and x=2.

Prove that the greatest integer function f : R rarrR given by f(x) =[x] is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Prove that the greatest integer function f:RtoR , given by f(x)=[x] is a many-one function.

Prove that the greatest integer function f:R rarr R, given by f(x) = [x] is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.