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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

Verified Answer :

meerkat18

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.

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