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represent relations Interpret graphs of relations
Section 1.6 Relations represent relations Interpret graphs of relations SWBAT:
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Relations y-axis (vertical axis) x-axis (horizontal axis) Origin
(0, 0) center x-axis (horizontal axis)
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Definitions Ordered pair: A point (coordinate)
(x coordinate, y coordinate) (x, y) Relation: A set of ordered pairs Domain: Input value (x-coordinate) Range: Output value (y-coordinate)
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Function cont… A function is like a machine.
You input a value and a value is “spit” out. 3 9 1 4 1 y = 2x + 1 Domain: Input (x value) Range: Output (y value)
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Different Representations of a Relation
Table Graph Mapping
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Examples 1. Express {(2, 5), (-2, 3), (5, -2), (-1, -2)} as a table, graph, and a mapping. 2. What is the domain & range?
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Examples 1. Express {(4, -3), (3, 2), (-4, 1), (0, -3)} as a table, graph, and a mapping. 2. What is the domain & range?
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Examples: pg 40 Example 3 The graph represents the distance Francesca has ridden on her bike. Describe what happens in the graph? As time increases the distance increases for a period of time, then become constant (so she took a break), then increased her speed (she started to peddle again)
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Guided Practice: Think-Pair-Share
Pg #7, 8
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Homework Section 1.6 #’s 9 – 14, 17 – 20, 21 – 23
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