For the function F (x) = [(1)/([x])] , ...

For the function F (x) = `[(1)/([x])]` , where [x] denotes the greatest integer less than or equal to x, which of the following statements are true?

A

The domain is `(-oo,oo)`

B

The range is `{0}cup{-1}cup{1}`

C

The domain is `{oo,0}cup[1,oo)`

D

The range is `{0}cup{1}`

Verified by Experts

The correct Answer is:

B, C

Similar Questions

Explore conceptually related problems

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Let f(x)=(x^(2)-9x+20)/(x-[x]) where [x] denotes greatest integer less than or equal to x), then

The function of f:R to R , defined by f(x)=[x] , where [x] denotes the greatest integer less than or equal to x, is

Let f(x)=(x-[x])/(1+x-[x]), where [x] denotes the greatest integer less than or equal to x,then the range of f is