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If f(x) = |x-2|+|x+2|,x in R, then...

If f(x) = |x-2|+|x+2|,x `in` R, then

A

`f(x)={{:(-2x,if,x in (-oo,-2]),(4,if,x in (-2,2]),(2x,if,x in(2,oo)):}`

B

`f(x)={{:(2x,if,x in (-oo,-2]),(4,if,x in (-2,2]),(-2x,if,x in(2,oo)):}`

C

`f(x)={{:(-2x,if,x in (-oo,-2]),(-4,if,x in (-2,2]),(2x,if,x in(2,oo)):}`

D

`f(x)={{:(-2x,if,x in (-oo,-2]),(2,if,x in (-2,2]),(2x,if,x in(2,oo)):}`

Text Solution

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The correct Answer is:
B, D
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