1. Slide 1 - 1 Active Learning Lecture Slides For use with Classroom Response Systems © 2009 Pearson Education, Inc. Chapter 1 Graphs, Functions and Models

2. Slide 1 - 2 Copyright © 2009 Pearson Education, Inc. CHAPTER 1: Graphs, Functions, and Models 1.2Functions and Graphs 1.3Linear Functions, Slope, and Applications 1.4Equations of Lines and Modeling 1.5Linear Equations, Functions, Zeros, and Applications 1.6Solving Linear Inequalities

3. Slide 1 - 3 Copyright © 2009 Pearson Education, Inc. Which of the following represents the graph of 3x + 2y = 6? a.b. c.d.

4. Slide 1 - 4 Copyright © 2009 Pearson Education, Inc. Which of the following represents the graph of 3x + 2y = 6? a.b. c.d.

5. Slide 1 - 5 Copyright © 2009 Pearson Education, Inc. The perimeter of a rectangle is 38 m. The length is four more than two times the width. What is the width?

6. Slide 1 - 6 Copyright © 2009 Pearson Education, Inc. Mr. Simone deposits $8000 in one simple interest account and $2000 in a second simple interest account. The interest rate on the $8000 account is 2% more than the rate on the $2000 account. If the total yearly amount of interest on the two accounts is $578, find the interest rate on each account.

7. Slide 1 - 7 Copyright © 2009 Pearson Education, Inc. The following table shows data for a sample of 6 used cars of a particular make and model. a.Use the data to determine a linear function that best fits the data (round coefficients to 4 decimal places) b.If you bought a car that was 5 years old, how much would you expect it to cost? c.If a car of this make and model cost $4750, how old would you expect it to be?

8. Slide 1 - 8 Copyright © 2009 Pearson Education, Inc. a. {(5,  8), (6, 3), (5, 4), (2, 0)} c. {(3, –4), (8,  4), (5,  2), (2, 4)} b. {(0, 1), (1, 2), (  1, 2), (0,  1)} d. {(2, 4), (5, 8), (5, 3), (7, 6)} Determine which relation is a function.

9. Slide 1 - 9 Copyright © 2009 Pearson Education, Inc. a. {(5,  8), (6, 3), (5, 4), (2, 0)} c. {(3, –4), (8,  4), (5,  2), (2, 4)} b. {(0, 1), (1, 2), (  1, 2), (0,  1)} d. {(2, 4), (5, 8), (5, 3), (7, 6)} Determine which relation is a function.

10. Slide 1 - 10 Copyright © 2009 Pearson Education, Inc. a. 52 c. 44 b.  44 d. –52 Given that f(x) = 3x 2 – x, find f(  4).

11. Slide 1 - 11 Copyright © 2009 Pearson Education, Inc. a. 52 c. 44 b.  44 d. –52 Given that f(x) = 3x 2 – x, find f(  4).

12. Slide 1 - 12 Copyright © 2009 Pearson Education, Inc. a. 3x 2 -x c. 4x 2 b. 3x 2 +x d. -3x 2 -x Given that f(x) = 3x 2 – x, find f(  x).

13. Slide 1 - 13 Copyright © 2009 Pearson Education, Inc. a. 3x 2 -x c. 4x 2 b. 3x 2 +x d. -3x 2 -x Given that f(x) = 3x 2 – x, find f(  x).

14. Slide 1 - 14 Copyright © 2009 Pearson Education, Inc. A total of $7000 is deposited into two simple interest accounts. On one account the annual simple interest rate of 5.5% and on the second account the annual simple interest rate is 7%. The amount of interest earned for 1 year was $405. How much was invested in each account.

15. Slide 1 - 15 Copyright © 2009 Pearson Education, Inc. Which of the following represents the graph of f(x) = x 3 – 2? a.b. c.d.

16. Slide 1 - 16 Copyright © 2009 Pearson Education, Inc. Which of the following represents the graph of f(x) = x 3 – 2? a.b. c.d.

17. Slide 1 - 17 Copyright © 2009 Pearson Education, Inc. a. c. (  1, 2) b. d. Find the domain of

18. Slide 1 - 18 Copyright © 2009 Pearson Education, Inc. a. c. (  1, 2) b. d. Find the domain of

19. Slide 1 - 19 Copyright © 2009 Pearson Education, Inc. a. c. (  1, 2) b. d. Find the domain of f(x)=2x 2 +3x-2 (-∞, ∞)

20. Slide 1 - 20 Copyright © 2009 Pearson Education, Inc. a. (-∞, ∞) c. (  1, 2) b. d. Find the domain of f(x)=2x 2 +3x-2

21. Slide 1 - 21 Copyright © 2009 Pearson Education, Inc. Determine which of the following graphs does not represent a function. a.b. c.d.

22. Slide 1 - 22 Copyright © 2009 Pearson Education, Inc. Determine which of the following graphs does not represent a function. a.b. c.d.

23. Slide 1 - 23 Copyright © 2009 Pearson Education, Inc. a. increased 32.5 cars/yr c. increased 130 cars/yr b. increased 21.7 cars/yr d. increased 26 cars/yr Joe’s Used Cars sold 50 cars in 2002. In 2007, they sold 180 cars. Find the average rate of change in cars sold from 2002 to 2007.

24. Slide 1 - 24 Copyright © 2009 Pearson Education, Inc. a. increased 32.5 cars/yr c. increased 130 cars/yr b. increased 21.7 cars/yr d. increased 26 cars/yr Joe’s Used Cars sold 50 cars in 2002. In 2007, they sold 180 cars. Find the average rate of change in cars sold from 2002 to 2007.

25. Slide 1 - 25 Copyright © 2009 Pearson Education, Inc. a. c. 5 b. 0 d. undefined Find the slope of the line containing the points (2, 6) and (  3, 6).

26. Slide 1 - 26 Copyright © 2009 Pearson Education, Inc. a. c. 5 b. 0 d. undefined Find the slope of the line containing the points (2, 6) and (  3, 6).

27. Slide 1 - 27 Copyright © 2009 Pearson Education, Inc. a. c.  2 b. 2 d. undefined Determine the slope of the line from the given graph.

28. Slide 1 - 28 Copyright © 2009 Pearson Education, Inc. a. c.  2 b. 2 d. undefined Determine the slope of the line from the given graph.

29. Slide 1 - 29 Copyright © 2009 Pearson Education, Inc. a. c.  3 b. 3 d. undefined Determine the slope of the line from the given graph.

30. Slide 1 - 30 Copyright © 2009 Pearson Education, Inc. a. c.  3 b. 3 d. undefined Determine the slope of the line from the given graph.

31. Slide 1 - 31 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the y-intercept of the graph  5x + 2y = 8.

32. Slide 1 - 32 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the y-intercept of the graph  5x + 2y = 8.

33. Slide 1 - 33 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the equation of the line that passes through (4,  3) and (8,  5).

34. Slide 1 - 34 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the equation of the line that passes through (4,  3) and (8,  5).

35. Slide 1 - 35 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the equation of the line containing the point (  2,  1) and parallel to the line 2x + 5y = 10.

36. Slide 1 - 36 Copyright © 2009 Pearson Education, Inc. a. c. b. d. Find the equation of the line containing the point (  2,  1) and parallel to the line 2x + 5y = 10.

37. Slide 1 - 37 Copyright © 2009 Pearson Education, Inc. a. parallel lines c. no relationship b. perpendicular lines d. undefined lines Determine the relationship between the pair of lines:

38. Slide 1 - 38 Copyright © 2009 Pearson Education, Inc. a. parallel lines c. no relationship b. perpendicular lines d. undefined lines Determine the relationship between the pair of lines:

39. Slide 1 - 39 Copyright © 2009 Pearson Education, Inc. a. 4 c.  4 b. d. Find the slope of the graph  5x + 2y = 8.

40. Slide 1 - 40 Copyright © 2009 Pearson Education, Inc. a. 4 c.  4 b. d. Find the slope of the graph  5x + 2y = 8.

41. Slide 1 - 41 Copyright © 2009 Pearson Education, Inc. Solve: 2x + 8 = 8(x – 6). a. c. b. d.

42. Slide 1 - 42 Copyright © 2009 Pearson Education, Inc. Solve: 2x + 8 = 8(x – 6). a. c. b. d.

43. Slide 1 - 43 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

44. Slide 1 - 44 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

45. Slide 1 - 45 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

46. Slide 1 - 46 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

47. Slide 1 - 47 Copyright © 2009 Pearson Education, Inc. Solve: a. No solution c. b. d.

48. Slide 1 - 48 Copyright © 2009 Pearson Education, Inc. Solve: a. No solution c. b. d.

49. Slide 1 - 49 Copyright © 2009 Pearson Education, Inc. Find the zero of f(x) = 7x + 6. a. c. b. d.

50. Slide 1 - 50 Copyright © 2009 Pearson Education, Inc. Find the zero of f(x) = 7x + 6. a. c. b. d.

51. Slide 1 - 51 Copyright © 2009 Pearson Education, Inc. Solve for n. a. n = 5A c. b. d.

52. Slide 1 - 52 Copyright © 2009 Pearson Education, Inc. Solve for n. a. n = 5A c. b. d.

53. Slide 1 - 53 Copyright © 2009 Pearson Education, Inc. Solve A = P + Prt for t. a. t = Pr(A – P) c. b. t = A – P – Pr d. t = A – 2P – r

54. Slide 1 - 54 Copyright © 2009 Pearson Education, Inc. Solve A = P + Prt for t. a. t = Pr(A – P) c. b. t = A – P – Pr d. t = A – 2P – r

55. Slide 1 - 55 Copyright © 2009 Pearson Education, Inc. The speed of the current in a river is 2 mph. Jay travels 20 mi upstream and then 20 mi downstream in a total of hr. Find the speed of his boat. a. 5 mph c. 8 mph b. 7 mph d. 12 mph

56. Slide 1 - 56 Copyright © 2009 Pearson Education, Inc. The speed of the current in a river is 2 mph. Jay travels 20 mi upstream and then 20 mi downstream in a total of hr. Find the speed of his boat. a. 5 mph c. 8 mph b. 7 mph d. 12 mph

57. Slide 1 - 57 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

58. Slide 1 - 58 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

59. Slide 1 - 59 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

60. Slide 1 - 60 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

61. Slide 1 - 61 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

62. Slide 1 - 62 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

63. Slide 1 - 63 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

64. Slide 1 - 64 Copyright © 2009 Pearson Education, Inc. Solve: a. c. b. d.

65. Slide 1 - 65 Copyright © 2009 Pearson Education, Inc. Doreen’s Catering charges $150 for set up plus $12 per person for parties under 100 people. Jackson’s Catering charges $18 per person for parties under 100 people. For what size party is Jackson’s a better deal? Assume that the party will be under 100 people. a. Parties under 20 people. c. Parties under 40 people. b. Parties under 25 people. d. Parties under 50 people.

66. Slide 1 - 66 Copyright © 2009 Pearson Education, Inc. Doreen’s Catering charges $150 for set up plus $12 per person for parties under 100 people. Jackson’s Catering charges $18 per person for parties under 100 people. For what size party is Jackson’s a better deal? Assume that the party will be under 100 people. a. Parties under 20 people. c. Parties under 40 people. b. Parties under 25 people. d. Parties under 50 people.

67. Slide 1 - 67 Copyright © 2009 Pearson Education, Inc. Find the domain and range of the function represented in the graph a. Domain [-4,3]; Range [-5,4]. c. Domain [-5,4]; Range [-4,3]. b. Domain [4,5]; Range [3,4]. d. Domain [0,4]; Range [0,3].

68. Slide 1 - 68 Copyright © 2009 Pearson Education, Inc. Find the domain and range of the function represented in the graph a. Domain [-4,3]; Range [-5,4]. c. Domain [-5,4]; Range [-4,3]. b. Domain [4,5]; Range [3,4]. d. Domain [0,4]; Range [0,3].

69. Slide 1 - 69 Copyright © 2009 Pearson Education, Inc. Find the average rate of change from the graph a. 10 ft/sec c..1 ft/sec b. 11.25 ft/sec d. 60 ft

70. Slide 1 - 70 Copyright © 2009 Pearson Education, Inc. Find the average rate of change from the graph a. 10 ft/sec c..1 ft/sec b. 11.25 ft/sec d. 60 ft

71. Slide 1 - 71