已知函數(shù)f(x)=ax2+(a-2)x+b定義域為(b,a-1)是偶函數(shù),則函數(shù)f(x)的值域為_.
已知函數(shù)f(x)=ax2+(a-2)x+b定義域為(b,a-1)是偶函數(shù),則函數(shù)f(x)的值域為______.
數(shù)學(xué)人氣:991 ℃時間:2019-08-19 21:59:08
優(yōu)質(zhì)解答
∵函數(shù)f(x)=ax2+(a-2)x+b是偶函數(shù),且定義域為(b,a-1)∴b=1-a ①∵f(-x)=f(x)∴ax2-(a-2)x+b=ax2+(a-2)x+b x∈(b,a-1)∴-(a-2)x≡(a-2)x∴2-a=a-2即a=2 ②由①...
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