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 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: 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.
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 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: 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.
Solution Summary: The author analyzes whether the provided polynomial function f(x) is useful in modeling Amazon deforestation over an extended period of time.
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 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:
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.
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…
The bar graph shows the differences among age groups on the Implicit Association Test that measures levels of racial prejudice. Higher scores indicate stronger bias.
Solve, a. The data can be described by the following polynomial model of degree 3: S = 0.2x3 - 1.5x2 + 3.4x + 25 + (0.1x3 - 1.3x2 + 3.3x + 5). In this polynomial model, S represents the score on the Implicit Association Test for age group x. Simplify the model.
b. Use the simplified form of the model from part (a) to find the score on the Implicit Association Test for the group in the 45–54 age range. How well does the model describe the score displayed by the bar graph?
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