A function f$($n$)$ produces the following values:

This function$$s growth supports which asymptotic bound?

a$.$ f$($n$)=\backslash$Theta $($n$2)$

b$.$ f$($n$)=\backslash$Theta $($n$3)$

c$.$ f$($n$)=\backslash$Theta $(2$n $)$

d$.$ f$($n$)=\backslash$Theta $($lg $($n$))$

$7.[5$ pts$]$ In $1$ or two sentences, explain why f$($n$)$ supports the bound you chose in the previous

problem.

n f$($n$)$

$1207$

$2244$

$3315$

$4432$

$169792$

$3271104$

$48233280$

$64545472$

$500251254192$

$10002005008192$

$15006761262192$

$200016020016192$