Consider the function

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

Problem

Consider the function g(x)=∣x−2∣g(x)=|x-2|. On which of the following intervals is gg increasing? (a) (−∞,2)(-\infty,2) (b) (2,∞)(2,\infty) (c) (−∞,2)∪(2,∞)(-\infty,2)\cup(2,\infty) (d) (0,∞)(0,\infty)

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