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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]),(,4x,"if "x in (-2,2]),(,2x,"if "x in (-oo,-2]):}`

B

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

C

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

D

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

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