# Range of $f(x)=\large\frac{|x|}{x}$ is ?

$\begin{array}{1 1} \{1,-1\} \\ \{1\} \\ (1,-1) \\ [-1,1] \end{array}$

Toolbox:
• $|x| =x$ if $x\geq 0$ and $|x|=-x$ if $x<0$.
$\large\frac{|x|}{x}$ $=\large\frac{x}{x}=1$ or $=\large\frac{-x}{x}=-1$
Range = $\{1,-1\}$