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

B

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

C

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

D

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

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