下列命题中所有正确的序号是______.
\((1)\)已知函数\(f(x-1)\)的图象关于直线\(x=2\)对称,函数\(f(x)\)为奇函数,则\(2\)是\(f(x)\)一个周期;
\((2)\)函数\(f(x)= \sqrt {x^{2}-1}+ \sqrt {1-x^{2}}\)和\(y= \sqrt {x-1}+ \sqrt {1-x}\)都是既奇又偶函数;
\((3)\)已知对任意的非零实数\(x\)都有\(f(x)+2f( \dfrac {1}{x})=2x+1\),则\(f(2)=- \dfrac {1}{3}\);
\((4)\)函数\(f(x)\)在\((a , b]\)和\((b , c)\)上都是增函数,则函数\(f(x)\)在\((a , c)\)上一定是增函数.