Amazon Deforestation 30,000 25,000 20,000 15,000 10,000 5000 2002 2004 2006 2008 2010 2012 Year Forest Cleared (square kilometers) f(x) = 81x – 1691x² + 8120x + 12,465 g(x) = -15x + 484x³ – 5155x? + 19,112x + 2797. %3D Amazon de forestation, in square kilome ters, x years after 2000
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The Brazilian Amazon rain forest is the world’s largest tropical rain forest, with some of the greatest biodiversity of any region. In 2012, the number of trees cut down in the Amazon dropped to its lowest level in 20 years. The line graph (see attached) shows the number of square kilometers cleared from 2001 through 2012. The data in the line graph can be modeled by the following third- and fourth-degree polynomial functions (see attached): Then Solve;
a. Use the Leading Coefficient Test to determine the end behavior to the right for the graph of f.
b. Assume that the rate at which the Amazon rain forest is being cut down continues to decline. Based on your answer to part (a), will f be useful in modeling Amazon deforestation over an extended period of time? Explain your answer.
c. Use the Leading Coefficient Test to determine the end behavior to the right for the graph of g.
d. Assume that the rate at which the Amazon rain forest is being cut down continues to decline. Based on your answer to part (c), will g be useful in modeling Amazon deforestation over an extended period of time? Explain your answer.
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