Rank the following functions by their order of growth and

then support that rank by a figure that shows the growth

of all these functions in the same figure $($this could be

done using Excel sheet or any tool that can draw

mathematical equations$).$ Feel free to support your

answer by any other way that could convince us with your

suggested rank.

$4^{lgn},lgn,n!,\sqrt[\phantom{2}]{n},e^n,2^{lgn},n^3$