Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition + Mathxl 1-year License
5th Edition
ISBN: 9780133314533
Author: Prentice Hall
Publisher: Prentice Hall
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Number 23 please. Intructions are in the second photo. Thank you.
1) Give an example of a function whose domain does not include x = -2 or x = 2.
2) Give an example of a function whose domain is [-2, 2].
3) Give an example of a function whose domain is (-2, 2).
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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_forwardUse a graphing utility to approximate the relative maximum of the function f(x)=4x27x+3.arrow_forwardWhy does the vertical line test tell as whether the graph of a relation represents a function?arrow_forward
- Use the Vertical Line Test to determine whether the graph represents y as a function of x.arrow_forwardShow that the function f(x)=3(x5)2+7 is not one-to-one.arrow_forward8. Which of the following equations do NOT represent functions of x? Explain. •a {(-2,5), (1,3),(3,7),(4,25),(3,-1)} •b y=x^3+20 •c y^2=x •d y=|x+7|arrow_forward
- In Exercises 55-58, find the indicated function values for each function. 55. f(x) = Vx – 1; f(28), f(9). f(0). f(-63) 56. f(x) = Vx – 3; f(30), f(11), f(2), f(-122) 57. g(x) = - V8x – 8; g(2), g(1), g(0) 58. g(x) = - V2x + 1; g(13), g(0), g(-63)arrow_forwardNumber 25 please. Intructions are in the second photo.arrow_forward
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