Q$8.(10$ points$)$

Take the following list of functions and arrange them in ascending order of growth rate. That is$,$ if function $g(n)$ immediately follows function $f(n)$ in your list, then it should be the case that $f(n)$ is $O(g(n)).$

$f_1(n)=n^{2\mathrm{.}5}$

$f_2(n)=\sqrt[\phantom{2}]{2n}$

$f_3(n)=n+10$

$f_4(n)={10}^n$

$f_5(n)={100}^n$

$f_6(n)=n^{2}logn$