For the functions, $f_i$:$Z^{+}{R}^{+}$complete the chart below by selecting true if $f_i$ has the specified asymptotic bound and false, if it does not.

$f_1(n)=\sqrt[\phantom{2}]{n^{2}lg{n}^2},f_2(n)=3n+lg{n}^2,f_3(n)=3^{n+2},f_4(n)=5n^2+7nlgn,f_5(n)=\sqrt[\phantom{2}]{2^{2lgn}}lgn$

Asymptotic Bounds of Functions

$\backslash$table$[[,f_1,f_2,,f_3,,f_4,f_5$