已知函數(shù)f(x)=x-x-1. (Ⅰ) 判斷函數(shù)f(x)的奇偶性,并證明 (Ⅱ) 證明函數(shù)f(x)在(0,+∞)上為增函數(shù).
已知函數(shù)f(x)=x-x-1.
(Ⅰ) 判斷函數(shù)f(x)的奇偶性,并證明
(Ⅱ) 證明函數(shù)f(x)在(0,+∞)上為增函數(shù).
(Ⅰ) 判斷函數(shù)f(x)的奇偶性,并證明
(Ⅱ) 證明函數(shù)f(x)在(0,+∞)上為增函數(shù).
數(shù)學人氣:233 ℃時間:2020-08-08 13:54:33
優(yōu)質(zhì)解答
(I)f(x)=x-x-1的定義域為{x|x≠0},f(-x)=-x+x-1=-f(x)∴函數(shù)f(x)為奇函數(shù)(II)任取x1,x2∈(0,+∞),不妨設x1<x2,則有f(x1)?f(x2)=x1?1x1?(x2?1x2)=(x1?x2)+(1x2?1x1)=(x1?x2)+(x1?x2x1...
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