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. Use this information to solve Exercises 73-74. 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.
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. Use this information to solve Exercises 73-74. 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.
Solution Summary: The author explains how the polynomial function overestimates the world tiger population in 1980.
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. Use this information to solve Exercises 73-74.
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.
What is a quadratic function? What shape does its graph have?
The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people. The town's tax status will change once the population is below 6,000 people.
Create an inequality that can be used to determine after how many years, t, the town's tax status will change, and use it to answer the question below.
Will the town's tax status change within the next 3 years?
The number of stores opened by a fast food restaurant chain can be modeled by the exponential function graphed on the grid, where x is
the number of years since 2010.
Fast Food Restaurants
2400
2000
1600
1200
800
400
Number of Years Since 2010
Based on the graph, which statement appears to be true?
A. The restaurant company opened 100 stores at the end of 2010.
B. The restaurant company opened 1400 new stores in 10 years.
C. The restaurant company opened 200 stores every year.
O D. The restaurant company will have 2000 stores in 2022.
Number of Stores
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