Let . On which of the following intervals is…

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

Problem

Let h(x)=∣x2−1∣h(x)=|x^{2}-1|. On which of the following intervals is hh increasing? (a) (0,∞)(0,\infty) (b) (−1,0)∪(1,∞)(-1,0)\cup(1,\infty) (c) (−∞,−1)∪(0,1)(-\infty,-1)\cup(0,1) (d) (0,1)∪(1,∞)(0,1)\cup(1,\infty)

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