Vanishing Tigers Estimated World Tiger Population Graph of a Polynomial Model for the Data 40,000- 37,500 40,000 flx) = 0.76.x – 30.x2 – 882x + 37,807 35,000 35,000 30,000 28,000 30,000 25,000 25,000 20,000 uSni 20,000 15,000 12,500 15,000 10,000 10,000 6300 5000 3200 5000 1970 1980 1990 2000 2010 10 20 30 40 Year Years after 1970 World Tiger Population World Tiger Population
Experts fear that without conservation efforts, tigers could disappear from the wild by 2022. Just one hundred years ago, there were at least 100,000 wild tigers. By 2010, the estimated world tiger population was 3200. The bar graph shows the estimated world tiger population for selected years from 1970 through 2010. Also shown is a polynomial function, with its graph, that models the data.
a. Find and interpret f(10). Identify this information as a point on the graph of f.
b. Does f(10) overestimate or underestimate the actual data shown by the bar graph? By how much?
c. Use the Leading Coefficient Test to determine the end behavior to the right for the graph of f. Might this function be useful in modeling the world tiger population if conservation efforts to save wild tigers are successful?
Explain your answer.
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