Question

The range of the function $f\left(x\right)=\frac{x+3}{|x+3|},x\ne -3$ is

• A. $\{3,-3\}$
• B. $R-\{-3\}$
• C. All positive integers
• D. $\{-1,1\}$

Answer 1

The correct option is D $\{-1,1\}$

$f\left(x\right)=1$ when $x+3>0$
$f\left(x\right)=-1$ when $x+3<0$
Range $=\{-1,1\}$