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The Language of Graphs

There was a gradual decline in sales. Sales declined gradually (noun usage) (verb usage) Enrollment increased by 4% in 1997. There was a 4% increase in enrollment in 1997. Immigration rose to 800,000 in 1999. Immigration rose by 20,000 in 1999. (to a point/number) (by increment) There was a 20% rise in immigration. (percentage) | The Language of Graphs Chapter 1 Appendix - 3 - 2 - 1 1 2 3 5 A 0 4 Horizontal Number Line Fig. A1-1a, p 20 B 40 30 20 10 0 - 10 - 20 - 30 - 40 Vertical Number Line Fig. A1-1b, p 20 40 30 20 10 0 1 2 3 4 5 B (1, 20) A (4, 5) Coordinate System Fig. A1-1c, p 20 From Table to Graph Fig. A1-2a, b and c, p 22 Price of pens (in dollars) Quantity of pens bought $3.00 2.50 2.00 1.50 1.00 .50 0 1 2 3 4 5 6 7 8 C D E B A Price (in dollars) Quantity $6 5 4 3 2 1 0 10 20 30 Nonlinear Curve Fig. A1-2d, p 22 40 Slopes of Curves Fig. A1-3, p 23 10 9 8 7 6 5 4 3 2 1 0 Slope = 1 Run = 1 Rise = 1 Rise = -4 Rise = -1 Run = 2 Slope = -0.5 Slope = 4 Slope = -4 Rise = 4 Run = 1 Run = 1 A B a L d Slope = 1 Rise =1 1 2 3 4 5 6 7 8 9 10 11 Run = 1 E e c b e L Inverse and Direct Relationships, p 23 X Y X Y Inverse relationship: When X goes up, Y goes down When X goes down, Y goes up Direct relationship: When X goes up, Y goes up When X goes down, Y goes down Maximum Point Fig. A1-4a, p 24 Maximum Slope = 0 A Maximum and Minimum Points Fig. A1-4b, p 24 Slope = 0 Minimum B Presenting Information Visually Fig. A1-5, p 1-25 Income (in dollars) $14,000 13,000 12,000 11,000 10,000 1992 1994 1996 (a) Income over time (1) The Importance of Scales Fig. A1-6 (a,b), p 1-25 Income (in dollars) $18,000 16,000 14,000 12,000 10,000 1992 1994 1996 (b) Income over time (2) The Language of Graphs End of Chapter 1 . | The Language of Graphs Chapter 1 Appendix - 3 - 2 - 1 1 2 3 5 A 0 4 Horizontal Number Line Fig. A1-1a, p 20 B 40 30 20 10 0 - 10 - 20 - 30 - 40 Vertical Number Line Fig. A1-1b, p 20 40 30 20 10 0 1 2 3 4 5 B (1, 20) A (4, 5) Coordinate System Fig. A1-1c, p 20 From Table to Graph Fig. A1-2a, b and c, p 22 Price of pens (in dollars) Quantity of pens bought $3.00 2.50 2.00 1.50 1.00 .50 0 1 2 3 4 5 6 7 8 C D E B A Price (in dollars) Quantity $6 5 4 3 2 1 0 10 20 30 Nonlinear Curve Fig. A1-2d, p 22 40 Slopes of Curves Fig. A1-3, p 23 10 9 8 7 6 5 4 3 2 1 0 Slope = 1 Run = 1 Rise = 1 Rise = -4 Rise = -1 Run = 2 Slope = -0.5 Slope = 4 Slope = -4 Rise = 4 Run = 1 Run = 1 A B a L d Slope = 1 Rise =1 1 2 3 4 5 6 7 8 9 10 11 Run = 1 E e c b e L Inverse and Direct Relationships, p 23 X Y X Y Inverse relationship: When X goes up, Y goes down When X goes down, Y goes up Direct relationship: When X goes up, Y goes up When X goes down, Y goes down Maximum Point Fig. A1-4a, p 24 Maximum Slope = 0