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

Based on the data in the table, for which product does
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