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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 1 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding.

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Presentation on theme: "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 1 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding."— Presentation transcript:

1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 1 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 1.

2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 2 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 3.

3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 3 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 5.

4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 4 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 7.

5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 5 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 9.

6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 6 Homework, Page 165 Chapter 1 Review Match the graph with the corresponding function from the list. Use your knowledge of function behavior, not your grapher. 9.

7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 7 Homework, Page 165 Chapter 1 Review Find (a) the domain and (b) the range of the function. 11.

8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 8 Homework, Page 165 Chapter 1 Review Find (a) the domain and (b) the range of the function. 13.

9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 9 Homework, Page 165 Chapter 1 Review Find (a) the domain and (b) the range of the function. 15.

10 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 10 Homework, Page 165 Chapter 1 Review Find (a) the domain and (b) the range of the function. 17.

11 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 11 Homework, Page 165 Chapter 1 Review Graph the function, and state whether the function is continuous at x = 0. 19.

12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 12 Homework, Page 165 Chapter 1 Review Find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. 21.

13 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 13 Homework, Page 165 Chapter 1 Review Find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. 23.

14 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 14 Homework, Page 165 Chapter 1 Review Graph the function and state the intervals on which the function is increasing. 25.

15 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 15 Homework, Page 165 Chapter 1 Review Graph the function and state the intervals on which the function is increasing. 27.

16 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 16 Homework, Page 165 Chapter 1 Review Graph the function and tell whether the function is bounded above, bounded below, or not bounded. 29.

17 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 17 Homework, Page 165 Chapter 1 Review Graph the function and tell whether the function is bounded above, bounded below, or not bounded. 31.

18 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 18 Homework, Page 165 Chapter 1 Review Use a grapher to find all (a) relative minimum values and (b) relative maximum values of the function. State the ordered pair for each extremum. 33.

19 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 19 Homework, Page 165 Chapter 1 Review Use a grapher to find all (a) relative minimum values and (b) relative maximum values of the function. State the ordered pair for each extremum. 35.

20 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 20 Homework, Page 165 Chapter 1 Review Graph the function and state whether the function is even, odd, or neither. 37.

21 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 21 Homework, Page 165 Chapter 1 Review Graph the function and state whether the function is even, odd, or neither. 39.

22 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 22 Homework, Page 165 Chapter 1 Review Find a formula for f –1 (x). 41.

23 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 23 Homework, Page 165 Chapter 1 Review Find a formula for f –1 (x). 43.

24 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 24 Homework, Page 165 Chapter 1 Review Refer to the function y = f (x) whose graph is given. 45. Sketch the graph of y = f (x) – 1

25 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 25 Homework, Page 165 Chapter 1 Review Refer to the function y = f (x) whose graph is given. 47. Sketch the graph of y = f (–x)

26 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 26 Homework, Page 165 Chapter 1 Review Refer to the function y = f (x) whose graph is given. 49. Sketch the graph of the inverse relation

27 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 27 Homework, Page 165 Chapter 1 Review Refer to the function y = f (x) whose graph is given. 51. Sketch the graph of y = f (|x|)

28 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 28 Homework, Page 165 Chapter 1 Review 53.

29 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 29 Homework, Page 165 Chapter 1 Review 55.

30 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 30 Homework, Page 165 Chapter 1 Review 57. The graph of y = f (x) starts at the origin and lies entirely in the first quadrant. It is ever increasing and concave down.

31 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 31 Homework, Page 165 Chapter 1 Review Write the specified quantity as a function of the specified variable. 59. A square of side s is inscribed in a circle. Write the area of the circle as a function of s.

32 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 32 Homework, Page 165 Chapter 1 Review Write the specified quantity as a function of the specified variable. 61. A cylindrical tank with diameter 20 is filled with oil to a depth of h feet. Write the volume of oil in the tank as a function of h.

33 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 33 Homework, Page 165 Chapter 1 Review Write the specified quantity as a function of the specified variable. 63. A cylindrical tank with diameter 20 is filled with oil to a depth of 40 feet. The oil begins draining at a constant rate of 2 cfs. Write the volume of oil in the tank remaining in the tank t seconds later as a function of t.

34 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 34 Homework, Page 165 Chapter 1 Review 65. The table shows imports of oil from Canada in thousands of barrels a day YearBarrelsYearBarrels 19951,04020001,348 19961,07520011,356 19971,19820021,445 19981,26620031,549 19991,17820041,606

35 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 35 Homework, Page 165 Chapter 1 Review 65. a. Sketch a scatter plot of import barrels versus year.

36 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 36 Homework, Page 165 Chapter 1 Review 65. b.Find an equation of the regression line and superimpose on the graph.

37 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 37 Homework, Page 165 Chapter 1 Review 65. c. Based on the regression line, estimate the number of barrels of Canadian oil imported in 2010. Based on the regression model, the estimated oil imports from Canada in 2010 are 1,948 thousand barrels per day.

38 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 38 Homework, Page 165 Chapter 1 Review 67. A right circular cylinder of radius r is inscribed inside a sphere of radius in. a.Use the Pythagorean Theorem to write h as a function of r. b. Write the volume V of the cylinder as a function of r. c. What values of r are in the domain of V? d. Sketch a graph of V (r) over the domain of [0, ]. e. Find the maximum volume of the cylinder.

39 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 39 Homework, Page 165 Chapter 1 Review 67. a.Use the Pythagorean Theorem to write h as a function of r.

40 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 40 Homework, Page 165 Chapter 1 Review 67. b. Write the volume V of the cylinder as a function of r. c. What values of r are in the domain of V?

41 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 41 Homework, Page 165 Chapter 1 Review 67. d. Sketch a graph of V (r) over the domain of [0, ]. [0,2] by [0,20] e. Find the maximum volume of the cylinder. Maximum volume of the cylinder is about 12.566 in 3.

42 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 42 Chapter Test

43 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 43 Chapter Test

44 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 44 Chapter Test Solutions

45 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Slide 1- 45 Chapter Test Solutions


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