### Relations and Functions

goals
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:
$f(x)=\sqrt {x^{2}-x+1}$