函數(shù)f(x)=3/3^x-3的值域
函數(shù)f(x)=3/3^x-3的值域
數(shù)學(xué)人氣:813 ℃時(shí)間:2020-01-27 10:43:20
優(yōu)質(zhì)解答
對(duì)它進(jìn)行求導(dǎo)得到f ‘(x)=-3ln3*3^(-x),由于3^(-3)恒為正的所以可以知道f ' (x)恒為負(fù)值,所以f(x)是單調(diào)遞減的.那么在x取得負(fù)無(wú)窮時(shí)f(x)取得正無(wú)窮,在x取得正無(wú)窮時(shí)f(x)為-3,所以值域是-3到正無(wú)窮.
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