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in Sets, Relations and Functions by (47.0k points)
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If f(x) = |x – 2| + |x + 2|, x ∈ R, then

(a) f(x) = {(-2x if x ∈ (-∞,-2]),(4 if x ∈ (-2,2]),(2x if x ∈ (2,∞))

(b) f(x) = {(2x if x ∈ (-∞,-2]),(4 if x ∈ (-2,2]),(-2x if x ∈ (2,∞))

(c) f(x) = {(-2x if x ∈ (-∞,-2]),(-4x if x ∈ (-2,2]),(2x if x ∈ (2,∞))

(d) f(x) = {(-2x if x ∈ (-∞,-2]),(2x if x ∈ (-2,2]),(2x if x ∈ (2,∞))

1 Answer

+1 vote
by (49.2k points)
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Best answer

(a)

f(x) = |x – 2| + |x + 2|

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