Vanishing Tigers Estimated World Tiger Population Graph of a Polynomial Model for the Data 40,000- 37,500 40,000 flx) = 0.76x 30x 882x + 37,807 35,000 35.000 30,000 28,000 30.000 25,000 25,000 20,000 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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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  as 3200. The given bar graph shows the estimated world tiger population for selected years from 1970 through 2010. Also shown is a polynomial function (see attached), with its graph, that models the data. Use this information to solve the following;

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.

Vanishing Tigers
Estimated World Tiger Population
Graph of a Polynomial Model for the Data
40,000- 37,500
40,000
flx) = 0.76x
30x
882x + 37,807
35,000
35.000
30,000
28,000
30.000
25,000
25,000
20,000
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
Transcribed Image Text:Vanishing Tigers Estimated World Tiger Population Graph of a Polynomial Model for the Data 40,000- 37,500 40,000 flx) = 0.76x 30x 882x + 37,807 35,000 35.000 30,000 28,000 30.000 25,000 25,000 20,000 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
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