1. [4+1+3=8 points ] Assume the following list of functions and arrange them in ascending order of growth rate with proper justification through analytical reasoning. Show if each function can be expressed in terms of log2n. Further, plot all these functions and identify if there are any cross-overs between them. If there are any cross-overs, determine those points at which the growth of the corresponding functions change. g1(n)=(log2n)log2ng2(n)=log2nng3(n)=nlog2ng4(n)=n(log2n)3