Question

The range of the function $f\left(x\right)=\frac{x}{|x|}$ is

• A. R - {0}
• B. R - {-1, 1}
• C. {-1, 1}
• D. None of these

Answer 1

The correct option is C

{-1, 1}

Let $y=\frac{x}{|x|}$

For $x>0,|x|=x$

$\Rightarrow y=\frac{x}{-x}=-1$

Thus, range of f(x) is {-1, 1}