AoPS

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

If f(x)=∣x∣+∣x−1∣+∣x−2∣f(x) = |x| + |x - 1| + |x - 2| , then (1) f(x)f(x) is has minima at x=1x = 1 (2) f(x)f(x) has maxima at x=0x = 0 (3) f(x)f(x) has neither maxima nor minima at x=3x = 3 (4) none of these

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