The range of the function (f(x) = \frac{x + 2}{|x + 2|}) is | MATH - FUNCTIONS | SolveeIt | Solveeit

Today, August 18

Question

The range of the function $f(x) = \frac{x + 2}{|x + 2|}$ is

A

{0, 1}

B

{– 1, 1}

C

R

D

$R - \{ - 2\}$

Answer

{– 1, 1}

Explanation

Solution

$f(x) = \frac{x + 2}{|x + 2|}$ $= \left{ \begin{matrix}

1, \ 1, \end{matrix} \right.\ \begin{matrix} x < - 2 \ x > - 2 \end{matrix}$

∴ Range of $f(x)$ is $\{ - 1,1\}$ .