simplistic introduction to algorithmic complexity on the other handas the plot below and on the right suggeststhere are many situations in which quadratic rate of growth is prohibitive the quadratic curve is rising so quickly that it is hard to see that the log-linear curve is even on the plot the final two plots are about exponential complexity in the plot on the leftthe numbers to the left of the -axis run from to howeverthe notation on the top left means that each tick on the -axis should be multiplied by sothe plotted -values range from to roughly * it lookshoweveralmost as if there are no curves in the plot on the left that' because an exponential function grows so quickly that relative to the value of the highest point (which determines the scale of the -axis)the values of earlier points on the exponential curve (and all points on the quadratic curveare almost indistinguishable from the plot on the right addresses this issue by using logarithmic scale on the -axis one can readily see that exponential algorithms are impractical for all but the smallest of inputs noticeby the waythat when plotted on logarithmic scalean exponential curve appears as straight line we will have more to say about this in later