The range of the function f ( x ) = x + 3 | x + 3 | , x ≠ − 3 is Options: A . &nbsp { 3 , − 3 } B . &nbsp R − { − 3 } C . &nbsp All positive integers D . &nbsp { − 1 , 1 }

The range of the function f(x)=x+3|x+3|,x≠−3 is

Question -

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

Options:

A .

{3, - 3}

B .

R - {- 3}

C . All positive integers

D .

{- 1, 1}

Answer: Option D
:
D

f (x) = 1

when

x + 3 > 0

f (x) = - 1

when

x + 3 < 0

Range

= {- 1, 1}

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