Chapter 1-6: Ordered Pairs and Relations Coordinate system: used to locate points also call the...
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Transcript of Chapter 1-6: Ordered Pairs and Relations Coordinate system: used to locate points also call the...
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 PairsGraph each ordered pair on a coordinate system.
a. (2, 3)
b. (0, 5)
Example 2 Identify Ordered PairsWrite the ordered pair that names each point.a. Ab. Bc. 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 xrepresents the number of days.a. Make a table of ordered pairs in which the x-coordinate represents the numberof 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).