For each of these parts, indicate whether f $=$ O$($g$),$ f $=\backslash$Omega $($g$),$ or both $($i$.$e$.,$ f $=\backslash$Theta $($g$)).$ In each case, give a brief justification for your answer. $($Hint: It may help to plot the functions and obtain an estimate of their relative growth rates. In some cases, it may also help to express each function as a power of $2$ and then compare.$)$