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Classifying discontinuities Classify the discontinuities in the following functions at the given points. See Exercises 95–96.
100.
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Chapter 2 Solutions
Calculus: Early Transcendentals, Books a la Carte, and MyLab Math with Pearson eText -- Title-Specific Access Card Package (3rd Edition)
Additional Math Textbook Solutions
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
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Thomas' Calculus: Early Transcendentals (14th Edition)
- . Marriage Rate The marriage rate per 1000 unmarriedwomen for the years 1987–2014 can be modeled bythe function 132x + 1000y = 9570, where x is thenumber of years after 1980. During what year doesthe equation indicate the marriage rate will be 4.29?(Source: National Vital Statistics Report 2010)arrow_forwardFor Exercises 9–18, graph the functions by plotting points or by using a graphing utility. Explain how the graphs are related. 9. a. f(x) = x b. g(x) = x + 2 c. h(x) = x² – 4 13. a. f(x) = |x| b. g(x) = -|x| 16. a. f(x) = |x| 1 b. g(x) = x| 14. a. f(x) = Vĩ b. g(x) = - Vĩ c. h(x) = 3|x| 10. a. f(x) = |x| b. g(x) = |x|+ 2 c. h(x) = |x| – 4 17. a. f(x) = V b. g(x) = V-x 15. a. f(x) = ? %3D b. g(x) = 11. a. f(x) = Vx b. g(x) = Vx – 2 c. h(x) = Vx + 4 18. a. f(x) = VI b. g(x) = V-x c. h(x) = 2r 12. a. f(x) = x b. g(x) = (x – 2)? c. h(x) = (x + 3)?arrow_forwardRetail Sales November and December retail sales,excluding autos, for the years 2001–2010 can be modeled by the function S(x) = -1.751x2 + 38.167x +388.997 billion dollars, where x is the number ofyears after 2000.a. Graph the function for values of x representing2001–2010.b. During what years does the model estimate thesales to be $550 billion?c. The recession in 2008 caused retail sales to drop.Does the model agree with the facts; that is, doesit indicate that a maximum occurred in 2008?arrow_forward
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- Exercises 65–74: Use the graph of f to determine intervals where f is increasing and where f is decreasing.arrow_forward. Gold Prices The price of an ounce of gold in U.S. dollars for the years 1997–2011 can be modeled by thefunction G(x) = 11.532x2 - 259.978x + 1666.555,where x is the number of years after 1990.a. Graph this function for values of x representing1997–2011.b. According to the model, what will the price ofgold be in 2020?c. Use graphical or numerical methods to estimatewhen the price of gold will reach $2702.80per ounce.arrow_forwardMarriage Rate The marriage rate per 1000 unmarried women for the years 1987–2014 is given by 132x + 1000y = 9570 where x is the number ofyears after 1980.a. Find the x-intercept of the graph of this function. b. Find and interpret the y-intercept of the graph ofthis function.c. Graph this function, using the intercepts.(Source: National Vital Statistics Report)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
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