Question

函數(shù)y=的定義域是________________；值域是__________________；單調(diào)遞增區(qū)間是_____________________.

Answer 1

解析：由x∈R,所以2x-x²=-(x-1)²+1≤1,則≥,即y≥;令t=2x-x²,則y=,當(dāng)x∈［1,+∞）時，t=2x-x²單調(diào)遞減，又y=單調(diào)遞減，所以單調(diào)遞增區(qū)間為［1，+∞）.

答案：R  ［,+∞)  ［1,+∞).