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: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 f(x) = 4x + 8 12 16 20 Product 2 g(x) = 2x 2 4 8 Product 3 h(x) = x2 + 12 13 16 21 Product 4 j(x) = x3 1 8 27 Based on the data in the table, for which product does the price eventually exceed all others? Product 1 Product 2 Product 3 Product 4

Answer 1

The given functions appear to be ...

$f(x)=4x\\g(x)=2^x\\h(x)=x^2+12\\j(x)=x^3$

Of these, the exponential function g(x) will eventually exceed all others. That is the price of product 2, so ...

... The price of Product 2 will eventually exceed all others.