奇函數(shù)乘以偶函數(shù)等于奇函數(shù)。此外,偶函數(shù)乘以偶函數(shù)還等于偶函數(shù),奇函數(shù)乘以奇函數(shù)等于偶函數(shù)。函數(shù)的奇偶性也就是指關(guān)于原點(diǎn)的對(duì)稱點(diǎn)的函數(shù)值相等,這是屬于函數(shù)的基本性質(zhì),也就是它們的圖象有某種對(duì)稱性的一元函數(shù)。
奇函數(shù)乘奇函數(shù)等于什么
回答
瑞文問答
2024-09-05
奇函數(shù)與奇函數(shù)的乘積是偶函數(shù)。如果對(duì)于函數(shù)f(x)的定義域內(nèi)任意一個(gè)x,都有f(-x)= - f(x),那么函數(shù)f(x)就叫做奇函數(shù)。在奇函數(shù)f(x)中,f(x)和f(-x)的符號(hào)相反且絕對(duì)值相等,即f(-x)=-f(x),反之,滿足f(-x)=-f(x)的函數(shù)y=f(x)一定是奇函數(shù)。