Questions in fun-lim

Select	Question
	Range of $f(x)=\ [x]\ -x$ is
	The range of $f(x)=\cos (x/3)$ is
	The range of the function $f(x)=\frac{x+2}{\|x+2\|}$ is
	The range of $f(x)=\cos x-\sin x$ is
	If $f:R\to R$, then the range of the function $f(x)=\frac{{{x}^{2}}}{{{x}^{2}}+1}$ is
	The range of $f(x)=\cos 2x-\sin 2x$ contains the set
	Range of the function $\frac{1}{2-\sin 3x}$ is
	Range of the function $f(x)={{\sin }^{2}}({{x}^{4}})+{{\cos }^{2}}({{x}^{4}})$ is
	Range of the function $f(x)=9-7\sin x$ is
	Range of $f(x)=\frac{{{x}^{2}}+34x-71}{{{x}^{2}}+2x-7}$ is