若函数y=f(x)满足f'(x)>f(x),则a>0时,f(a)与eaf(0)之间的大小关系为( )
A:f(a)<eaf(0)
B:f(a)>eaf(0)
C:f(a)=eaf(0)
D:与f(x)或a有关,不能确定.
①函数f(x)的值域为(0,8;
②对任意的n∈N,都有f(2n)=23﹣n;
③存在k∈( 18 , 14 ),使得直线y=kx与函数y=f(x)的图象有5个公共点;
④“函数f(x)在区间(a,b)上单调递减”的充要条件是“存在n∈N,使得(a,b)⊆(2n,2n+1)”
其中正确命题的序号是( )
— No, _______. I think they're boring.