7.已知函数f(x)=31+|x|-$\frac{1}{{1+{x^2}}}$,则使得f(x)>f(2x-1)成立的x的取值范围是( )
| A. | $({\frac{1}{3},1})$ | B. | $({-∞,\frac{1}{3}})∪({1,+∞})$ | C. | (-$\frac{1}{3}$,$\frac{1}{3}$) | D. | $({-∞,-\frac{1}{3}})∪({\frac{1}{3},+∞})$ |
6.已知f(x)=ax3+bx+1(ab≠0),若f(2016)=k,则f(-2016)=( )
| A. | k | B. | -k | C. | 1-k | D. | 2-k |
4.已知函数f(x)的图象如图,则它的一个可能的解析式为( )

| A. | y=2$\sqrt{x}$ | B. | y=log3(x+1) | C. | y=4-$\frac{4}{x+1}$ | D. | y=$\root{3}{x}$ |
3.下列函数中,既是奇函数又是减函数的为( )
| A. | y=x+1 | B. | y=-x2 | C. | $y=\frac{1}{x}$ | D. | y=-x|x| |
2.函数f(x)=($\frac{1}{3}$)x2-9的单调递减区间为( )
| A. | (-∞,0) | B. | (0,+∞) | C. | (-9,+∞) | D. | (-∞,-9) |
1.三个数a=0.52,b=log20.5,c=20.5之间的大小关系是( )
| A. | b<a<c | B. | a<c<b | C. | a<b<c | D. | b<c<a |
20.若函数y=f(x)是y=3x的反函数,则f(3)的值是( )
| A. | 0 | B. | 1 | C. | $\frac{1}{3}$ | D. | 3 |
19.函数f(x)=3x+x-3的零点所在的区间是( )
0 233774 233782 233788 233792 233798 233800 233804 233810 233812 233818 233824 233828 233830 233834 233840 233842 233848 233852 233854 233858 233860 233864 233866 233868 233869 233870 233872 233873 233874 233876 233878 233882 233884 233888 233890 233894 233900 233902 233908 233912 233914 233918 233924 233930 233932 233938 233942 233944 233950 233954 233960 233968 266669
| A. | (0,1) | B. | (1,2) | C. | (2.3) | D. | (3,4) |