The following table lists the reported number of cases of infants born in the United States with HIV in recent years because their mother was infected.

Source:

Centers for Disease Control and Prevention.

a) Plot the data on a graphing calculator, letting

b) Using the regression feature on your calculator, find a quadratic, a cubic, and an exponential function that models this data.

c) Plot the three functions with the data on the same coordinate axes. Which function or functions best capture the behavior of the data over the years plotted?

d) Find the number of cases predicted by all three functions for 20152015. Which of these are realistic? Explain.