Question

已知函數(shù)，則（　　）

A．函數(shù)的定義域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310346545.png" style="vertical-align:middle;" />，值域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310362629.png" style="vertical-align:middle;" />

B．函數(shù)的定義域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310346545.png" style="vertical-align:middle;" />，值域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310408797.png" style="vertical-align:middle;" />

C．函數(shù)的定義域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310346545.png" style="vertical-align:middle;" />，值域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310455303.png" style="vertical-align:middle;" />

D．函數(shù)的定義域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310455303.png" style="vertical-align:middle;" />，值域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310455303.png" style="vertical-align:middle;" />

Answer 1

C

試題分析：顯然為奇函數(shù)且.時(shí)，均為增函數(shù)，故也為增函數(shù).當(dāng)無(wú)限趨近于0時(shí)，無(wú)限趨近于，故也無(wú)限趨近于；當(dāng)無(wú)限趨近于時(shí)，無(wú)限趨近于0，故也無(wú)限趨近于.所以值域?yàn)?img src="http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824025310455303.png" style="vertical-align:middle;" />.選C.