A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table:

Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 g(x) = 2x 2 4 8
Product 2 h(x) = x2 + 12 13 16 21

Based on the data in the table, for which product does the price eventually exceed all others, and why?

Product 1, because it has a lower start value
Product 2, because it has a greater Year 3 value
Product 1, because the function is exponential
Product 2, because the function is exponential