已知函数

是定义在

上的奇函数.
(1)求

的值;(2)求函数

的值域;
(3)当

时,

恒成立,求实数

的取值范围.
(1)

是定义在

上的奇函数.
(2)由(1)知

故函数

的值域为

…4分(其他方法同样给分)
(3)当

时,

恒成立,即

方法一:


…2分
其最大值为0

…2分
方法二:

恒成立
令

…2分


实数

的取值范围

练习册系列答案
相关习题
科目:高中数学
来源:不详
题型:单选题
已知函数

是

上的偶函数,若对于

,都有

,且当

时,

的值为 ()
查看答案和解析>>
科目:高中数学
来源:不详
题型:单选题
若函数

)是奇函数,则下列坐标表示的点一定在函数

图象上的是
查看答案和解析>>
科目:高中数学
来源:不详
题型:填空题
函数

是定义在

上的奇函数,若当

时,

,则满足

的

的取值范围是
查看答案和解析>>
科目:高中数学
来源:不详
题型:解答题
(本题满分14分)已知函数
f(
x)=log
2
,(
x∈(-∞,-

)∪(

,+∞))
(1)判断函数
f(
x)的奇偶性,并说明理由;
(2)判断函数
f(
x)在区间(

,+∞)上的单调性.
查看答案和解析>>