1 6 Notes
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The document discusses coordinate systems, ordered pairs, relations, and graphing ordered pairs on a coordinate plane. It defines a coordinate system as using two number lines that meet at right angles to locate points, with the x-axis and y-axis intersecting at the origin. Ordered pairs use the x-coordinate as the first number and y-coordinate as the second number to specify the location of a point. Relations show the connections between inputs and outputs and can be represented by ordered pairs, tables, or graphs.
1 6 Notes
- 1. Chapter 8 – Functions and Graphing 1.6 – Ordered Pairs and Relations
- 2. Story Time
- 3. Coordinate System A coordinate system is used to locate points. It can also be called a Cartesian system or coordinate plane . The coordinate system is formed by two number lines that meet at right angles at their zero points. x -axis y -axis origin
- 4. Ordered Pairs The first number is called the x -coordinate . x -axis y -axis ( x , y ) A ( 3 , 6) ( x , y ) A (3, 6 ) ( x , y ) A (3, 6) An ordered pair is used to locate any point on a coordinate plane. The second number is called the y -coordinate . A
- 5. Graph each ordered pair on a coordinate system. A (3, 4) B (0, 2) C (8, 5)
- 6. Name the ordered pair that names each point. D E F D E F
- 7. A relation is a set of ordered pairs. The set of x -coordinates is called the domain of the relation. The set of y -coordinates is called the range of the relation.
- 8. A relation can be shown in several ways. Ordered Pairs {(1, 2), (2, 4), (3, 0), (4, 5)} Table Graph 5 4 0 3 4 2 2 1 y x
- 9. Express the relation {(1, 4), (2, 2), (3, 0), (0, 2)} as a table and as a graph. Then determine the domain and range. y x
- 10. Questions? Homework: 1.6 pg 36 #4-44 (even)