已知函數(shù)y=(1/4)x?(1/2)x+1的定義域為[-3,2], (1)求函數(shù)的單調(diào)區(qū)間; (2)求函數(shù)的值域.
已知函數(shù)y=(
)x?(
)x+1的定義域為[-3,2],
(1)求函數(shù)的單調(diào)區(qū)間;
(2)求函數(shù)的值域.
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(1)求函數(shù)的單調(diào)區(qū)間;
(2)求函數(shù)的值域.
數(shù)學(xué)人氣:746 ℃時間:2019-10-19 14:52:31
優(yōu)質(zhì)解答
(1)令t=(12)x,則y=t2-t+1=(t-12)2+34當(dāng)x∈[1,2]時,t=(12)x是減函數(shù),此時t∈[14,12],在此區(qū)間上y=t2-t+1是減函數(shù)當(dāng)x∈[-3,1]時,t=(12)x是減函數(shù),此時t∈[12,8],在此區(qū)間上y=t2-t+1是增函數(shù)∴函數(shù)的單...
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