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Chapter 1-6: Ordered Pairs and Relations. Coordinate system : used to locate points also call the Coordinate plane Origin : is a (0,0) and is the point at which the number lines intersect X-Axis : the horizontal number line Y-Axis : the vertical number line
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Chapter 1-6: Ordered Pairs and Relations Coordinate system: used to locate points also call the Coordinate plane Origin: is a (0,0) and is the point at which the number lines intersect X-Axis: the horizontal number line Y-Axis: the vertical number line Ordered Pair: used to locate any point on a coordinate plane (3, 2) The first number is the x The second number is the y Relation: a set of ordered pairs Ex. { (1, 2), (2,4), (3, 0), (4, 5)} Domain: all of the x-coordinates in a relation Range: all of the y-coordinates in a relation
Example 1 Graph Ordered Pairs Graph each ordered pair on a coordinate system. a. (2, 3) b. (0, 5) Example 2 Identify Ordered Pairs Write the ordered pair that names each point. a. A b. B c. C
Example 3 Relations as Tables and Graphs Express the relation {(1, 4), (3, 0), (5, 2), (2, 3)} as a table and as a graph. Then determine the domain and range.
Example 4 Apply Relations CAR RENTAL A midsize sedan can be rented for $40 per day. Suppose x represents the number of days. a. Make a table of ordered pairs in which the x-coordinate represents the number of days and the y-coordinate represents the rental cost for 1, 2, 3, and 4 days. b. Then graph the ordered pairs (days, total cost).