Question

A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table:

Dollars Dollars Dollars
Product Function Year 1 Year 2 Year3
Product 1 f(x) = x^3 1 8 27
Product 2 g(x) = x^2 + 11 12 15 20
Product 3 h(x) = 4^x 4 16 64
Product 4 j(x) = 4x + 8 12 16 20
Based on the data in the table, for which product does the price eventually exceed all others? (5 points)


A.Product 1
B.Product 2
C.Product 3
D.Product 4

Answer 1

Product Function Year 1 Year 2 Year 3
Product 1 f(x) = x³ 1 8 27
Product 2 g(x) = x² + 11 12 15 20
Product 3 h(x) = 4^x 4 16 64
Product 4 j(x) = 4x + 8 12 16 20

Product 3 exceeds the prices of other products. x is an exponent of 4, thus, the price increase is exponential.