設(shè)函數(shù)
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是定義域在
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,并且滿足
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,
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,且當(dāng)
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>0時,
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>0。
(1)求
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的值,
(2)判斷函數(shù)的奇偶性,
(3)如果
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,求
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的取值范圍。
(1)0
(2)函數(shù)
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是R上的奇函數(shù)
(3)
1)令x="y=0" , 則
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(2) 令
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, 得
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故函數(shù)
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是R上的奇函數(shù)
(3)任取
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,則
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故
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是R上的增函數(shù)
∵
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∴
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∴
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,又由
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是定義在R上的增函數(shù),得
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解之得
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,故
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