Relations and Functions

Find the range of the following functions:
$$f(x)=3\sin x+4\cos x-5$$
Find the range of the following functions:
$$f(x)=x^{2}+2x+3$$
The function $$f$$ whose graph passes through $$(0, 7/3)$$ and whose derivative is $$x\sqrt{1-x^{2}}$$ is given by
If $$f(x+y)=f(x)f(y)$$ for all $$x,y\ \epsilon\ R,f(1)=2$$ and $$\displaystyle \sum^{n}_{k=1}f(4+k)=480$$, then $$n=$$
Find the range of the following functions:
$$f(x)=\sqrt {x^{2}-x+1}$$