to sum uptable shows each of the seven common functions used in algorithm analysiswhich we described abovein order table classes of functions here we assume that is constant constant logarithm linear -log- quadratic cubic exponent log nlogn an ideallywe would like data structure operations to run in times proportional to the constant or logarithm functionand we would like our algorithms to run in linear or -log- time algorithms with quadratic or cubic running times are less practicalbut algorithms with exponential running times are infeasible for all but the smallest sized inputs plots of the seven functions are shown in figure figure growth rates for the seven fundamental functions used in algorithm analysis we use base for the exponential function the functions are plotted in log-log chartto compare the growth rates