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 (40). Identify this information as a point on the graph of. f b. Does f (40) 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 Will this function be useful in modeling the world tiger population if conservation efforts to save wild tigers fail? 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 (40). Identify this information as a point on the graph of. f b. Does f (40) 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 Will this function be useful in modeling the world tiger population if conservation efforts to save wild tigers fail? Explain your answer.
Solution Summary: The author explains how the polynomial function underestimates the world tiger population in 2010.
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(40). Identify this information as a point on the graph of. f
b. Does f(40) 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 Will this function be useful in modeling the world tiger population if conservation efforts to save wild tigers fail? Explain your answer.
In the year 2016, the total number of
metric tons of copper produced in the
world was 495,000.
Each year since, the total number of
metric tons of copper produced has
increased on average by about 3.25%
over the amount produced the previous
year.
Which function models the total number of
metric tons of copper produced in the year
that is x years since 2016?
O c(x) = 2010(3.25)*
O c(x) = 495,000(1.0325)*
O c(x) = 495,000(1.325)*
O c(x) = 495,000(0.9675)*
Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by
multiplying 2.89 by x and adding 70.64 to the result.
(a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long.
h(x) =
(b) Use your function h from part (a) to predict the height of a man whose humerus bone is 25 cm long.
cm
Give a reason why the graph cannot represent a polynomial function of degree 3. Upload your handwritten answer on Canvas.
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