Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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What interval(s) is the function,
3x + 3x - 36 = f (x)
%3D
positive?
1. (-
00
,-4)
II. (-0.5, -36.75)
II. (3,
O I and III only
Il only
O l only
O I, Il and III
accounts pouoble
a-umja-lca
So the function has symmetry only about y-axis. It is called an even function.
2. y= f(x)=x}
\text { 20. } f(x)=|x-3|
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- Later High School Graduates This is a continuation of Exercise 16. The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 2001 2.85 2003 2.98 2005 3.11 2007 3.24 a. Find the slope of the linear function modeling high school graduations, and explain in practical terms the meaning of the slope. b. Find a formula for a linear function that models these data. c. Express, using functional notation, the number graduating from high school in 2008, and then calculate the value. d. The actual number graduating from high school in 1994 was about 2.52 million. Compare this with the value given by the formula in part b and with your answer to part of Exercise 16. Which is closer to the actual value? In general terms, what was the trend in high school graduations from 1985 to 2007? 16. High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year.16 Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.arrow_forwardTutorial Exercise Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) f(x) = 3x4 - 36x3 + x – 4 Part 1 of 6 We use the ---Select--- Notice that the domain of f is (Enter your answer using interval notation.) First, find the first and second derivatives of f(x) = 3x – 36x3 + x – 4. f'(x) = f"(x) = Submit Skip (you cannot come back)arrow_forwardcan you please provide explanationsarrow_forward
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