1. [3+5=8 points ] Assume the following list of functions and arrange them in ascending order of growth rate with proper justification through analytical reasoning. g1(n)=3n4+6ng2(n)=nlog(n1000)g3(n)=7n3log(n)+1000g4(n)=3ng5(n)=6ng6(n)=1024n2+4n+460 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