1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 1 Homework, Page 344 Chapter Review Compute the exact value of the function for the given value of x without using a calculator. 1.

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 2 Homework, Page 344 Chapter Review Describe how to transform the graph of f into the graph of g (x) = 2 x or h (x) = e x. Sketch the graph by hand and support your answer with a grapher 5. To transform f into g, first reflect f about the y-axis, then translate it down three units, and apply a stretch of 2 x.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 3 Homework, Page 344 Chapter Review Describe how to transform the graph of f into the graph of g (x) = 2 x or h (x) = e x. Sketch the graph by hand and support your answer with a grapher 9. To transform f into h, first translate f left 1.5 units, and apply a stretch of

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 4 Homework, Page 344 Chapter Review State whether the function is an exponential growth function or an exponential decay function, and describe its end behavior using limits. 13. The function is an exponential decay function. Its end behaviors are defined by following limits:

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 5 Homework, Page 344 Chapter Review Graph the function, and analyze it for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior. 17. The domain of f is all real numbers, the range is 0 < y < 6, it is continuous on its domain, increasing on its domain, asymmetrical, bounded by y = 0 and y = 6, it has no extrema, it has horizontal asymptotes at y = 0 and y = 6 and its end behavior is

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 6 Homework, Page 344 Chapter Review Find an exponential function that satisfies the given conditions. 21. Initial height = 18 cm, doubling every three weeks

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 7 Homework, Page 344 Chapter Review Find an exponential function that satisfies the given conditions. 25.

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 8 Homework, Page 344 Chapter Review Evaluate the logarithmic expression without using a calculator. 29.

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 9 Homework, Page 344 Chapter Review Rewrite the equation in exponential form. 33.

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 10 Homework, Page 344 Chapter Review Describe how to transform the graph of y = log 2 x into the graph of the given function. Sketch the graph by hand and support by a grapher. 37. To transform the graph of y into the graph of h, translate it one unit to the right and reflect it about the x-axis

11. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 11 Homework, Page 344 Chapter Review Graph the function, and analyze it for domain, range, continuity, increasing or decreasing behavior, symmetry, boundedness, extrema, asymptotes, and end behavior. 41. The domain of f is all real numbers except zero, the range is y > – 0.184, it is discontinuous at x = 0, increasing on (– 0.607, 0) and (0.607, ∞) and decreasing on (–∞,–.607) and (0.607, ∞), symmetrical about y-axis, bounded by y = – 0.184, it has relative minima at x = –0.607 and x = 0.607, it has no asymptotes, and it grows without bound.

12. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 12 Homework, Page 344 Chapter Review Solve the equation. 45.

13. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 13 Homework, Page 344 Chapter Review Solve the equation. 49.

14. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 14 Homework, Page 344 Chapter Review Solve the equation. 53.

15. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 15 Homework, Page 344 Chapter Review Write the expression using only common logarithms. 57.

16. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 16 Homework, Page 344 Chapter Review Match the function with its graph. 61. b.

17. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 17 Homework, Page 344 Chapter Review 65. Find the amount A accumulated after investing a principal P for t years at an interest rate r compounded continuously.

18. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 18 Homework, Page 344 Chapter Review Determine the value of k so that the graph of f passes through the given point. 69.

19. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 19 Homework, Page 344 Chapter Review 73. A drug is administered intravenously for pain. The function gives the amount of the drug in the body after t hours. a.What was the initial t = 0 number of units of the drug administered? Initially, 90 units of the drug were administered. b.How much is present after two hours?

20. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 20 Homework, Page 344 Chapter Review 73. c. Draw the graph of f.

21. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 21 Homework, Page 344 Chapter Review 77. The number of rabbits in Elkgrove doubles every month. There are 20 rabbits present initially. a.Express the number of rabbits as a function of time t. b.How many rabbits were present after one year? five years?

22. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 22 Homework, Page 344 Chapter Review 77. c.When will there be 10,000 rabbits?

23. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 23 Homework, Page 344 Chapter Review 81. Afghanistan suffered two major earthquakes in 1998. The one on February 4 had a Richter magnitude of 6.1, causing about 2,300 deaths, and the one on May 30 measured 6.9 on the Richter scale, killing 4,700 people. How many times more powerful was the more deadly earthquake? The May earthquake was about 6.31 times as powerful as the February earthquake.

24. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 24 Homework, Page 344 Chapter Review 85. The time t in months that it takes to pay off a $60,000 loan at 9% annual interest with monthly payments of x dollars is given by Estimate the length (term) of the $60,000 loan if the monthly payments are $700.

25. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 25 Homework, Page 344 Chapter Review 89. The Beer-Lambert law of absorption applied to Lake Superior states that the light intensity I (in lumens) at a depth of x feet satisfies the equation Find the light intensity at a depth of 25 ft.

26. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 26 Homework, Page 344 Chapter Review 93. The number of students infected with the flu after t days at Springfield High School is modeled by the function a.What was the initial number of infected students?

27. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 27 Homework, Page 344 Chapter Review 93. b.When will 800 students be infected?

28. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 28 Homework, Page 344 Chapter Review 93. c.The school will close when 400 of the 1600 student body are infected. When would the school close?

29. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 3- 29 Homework, Page 341 97. The function describes the future value of a certain annuity. a. What is the annual interest rate. 9% per year b. How many payments per year are there? 4 payments per year c. What is the amount of each payment? $100