Will a quantity increasing exponentially eventually exceeds a quantity increasing as a polynomial function?

The answer is generally No.

In general cases, the increasing rate of an exponential function is smaller than polynomials with the lower order.

Sorry for my previous misleading info.

e.g. x^2 is always bigger than e^x

The major difference is that a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins.  bar charts, on the other hand, can be used for a great deal of other types ofvariables  including  ordinal  andnominal  data sets.