Home
Class 12
MATHS
The function, f(x)=[|x|]-|[x]| where [] ...

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

A

is continuous for all positive integers

B

is discontinuous for all non-positive integers

C

has finite number of elements in its range

D

is such that its graph does not lie above the X-axis

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

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-[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

Find the range of the following function: f(x)=ln(x-[x]), where [.] denotes the greatest integer function

The period of the function f(x)=sin(x+3-[x+3]) where [] denotes the greatest integer function

Let us consider a function f(x)=sin[x] where [x] denotes the greatest integer function.Then

Consider the function f(x) = {x+2} [cos 2x] (where [.] denotes greatest integer function & {.} denotes fractional part function.)

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

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

The domain of function f(x)=sqrt(log_([x])|x|) (where denotes greatest integer function),is