The greatest and least values of the function

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

Problem

The greatest and least values of the function f(x)=1−2x+x2−1+2x+x2f(x)=\sqrt{1-2x+x^2}-\sqrt{1+2x+x^2}, where x∈(−∞,∞)x\in(-\infty,\infty), are (1) 2,−22,-2 (2) 2,−12,-1 (3) 2,02,0 (4) None of these

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