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

Product 2, because the function is exponential

Step-by-step explanation:

x² + 12

Will increase more rapidly as compared to

2x

Option C

Step-by-step explanation:

Product 1 would eventually exceed product 2 because it is exponential. Product 2 is quadratic, x^2, so even if it starts out at a higher value, product 1, 2^x, will exceed it.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: