Functions Question 642

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

[RPET 2002]

Options:

A) {0, 1}

B) {?1, 1}

C) R

D) $ R-{-2} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ f(x)=\frac{x+2}{|x+2|} $ $ f(x)= \begin{cases} -1, \\ 1, \\ \end{cases} .\begin{matrix} x<-2 \\ x>-2 \\ \end{cases} $ \ Range of $ f(x) $ is $ {-1,,1} $ .