(1)證明:設(shè)X10 ,所以F(X)是增函數(shù). (2)奇函數(shù)F(0)=0,所以a=2的零次冪+1分之一=1/2.a=1/2時,易證F(-X)=-F(X).所以a=1/2時,F(X)是奇函數(shù). (3)2的X次冪+1分之一>1,a=1/2, 所以值域為 負無窮到-1/2.
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已知函數(shù)f(x)=a-(2的x次冪+1分之一).(1)求證:不論a為何實數(shù)f(x)總是為增函數(shù); (2)確定a的值,使f(x)為奇函數(shù).(3)當(dāng)f(x)為奇函數(shù)時,求f(x)的值域.
已知函數(shù)f(x)=a-(2的x次冪+1分之一).(1)求證:不論a為何實數(shù)f(x)總是為增函數(shù); (2)確定a的值,使f(x)為奇函數(shù).(3)當(dāng)f(x)為奇函數(shù)時,求f(x)的值域.
數(shù)學(xué)人氣:743 ℃時間:2020-04-15 01:19:27
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