Let f(x)=[x], where [x] denotes the greatest integer contained in x . Which one of the following is correct?

Question

Let f(x)=[x], where [x] denotes the greatest integer contained in x . Which one of the following is correct? (A)  f(x) is one-to-one (B)  f(x) is onto (C) Domain of f(x) is set of renumbers and range of f(x) is set of integers x  (D) Both domain and range of f(x) are set of real numbers

Tardigrade Admin · Accepted Answer

We know domain of the greatest integer function is the set of real number R and range is the set of integers.

Q. Let $f (x) = [x],$ where $[x]$ denotes the greatest integer contained in $x$ . Which one of the following is correct?

$f (x)$ is one-to-one

$f (x)$ is onto

Domain of $f (x)$ is set of renumbers and range of $f (x)$ is set of integers $x$

Both domain and range of $f (x)$ are set of real numbers

We know domain of the greatest integer function is the set of real number R and range is the set of integers.

Q. Let f(x)=[x], where [x] denotes the greatest integer contained in x . Which one of the following is correct?

f(x) is one-to-one

f(x) is onto

Domain of f(x) is set of renumbers and range of f(x) is set of integers x

Both domain and range of f(x) are set of real numbers

We know domain of the greatest integer function is the set of real number R and range is the set of integers.

Q. Let $f (x) = [x],$ where $[x]$ denotes the greatest integer contained in $x$ . Which one of the following is correct?

$f (x)$ is one-to-one

$f (x)$ is onto

Domain of $f (x)$ is set of renumbers and range of $f (x)$ is set of integers $x$

Both domain and range of $f (x)$ are set of real numbers