The Brazilian Amazon rain forest is the worlds largest

Chapter 2, Problem 28

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The Brazilian Amazon rain forest is the worlds largest tropical rain forest, with some of the greatest biodiversity of any region. In 2009, the number of trees cut down in the Amazon dropped to its lowest level in 20 years. The line graph shows the number of square kilometers cleared from 2001 through 2009. Forest Cleared (square kilometers) Amazon Deforestation Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 30,000 25,000 20,000 15,000 10,000 5000 Source: Brazils National Institute for Space Research The data in the line graph can be modeled by the following third- and fourth-degree polynomial functions: Amazon deforestation, in square kilometers, x years after 2000 f(x)=158x3 -2845x2 +12,926x+7175 g(x)=17x4 +508x3 -5180x2 +18,795x+2889. a. Use the Leading Coeffi cient 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 Coeffi cient 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.