6 1 relations lesson
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A relation maps numbers from its domain to numbers in its range through a series of operations. A relation can be represented as a set of ordered pairs. The domain is the set of first elements in each ordered pair, representing the inputs. The range is the set of second elements, representing the outputs. A relation can be thought of as a machine that takes numbers as inputs and produces other numbers as outputs through some operation.
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6 1 relations lesson
- 1. 6-1 Relations 6-1 Relations6-1 Relations
- 2. A relation is an operation, or series of operations, that maps one number onto another. 6-1 Relations6-1 Relations
- 3. RelationsRelations Relation: a set of ordered pairs. {(3, 2), (–1, 5), (0, 2)} Domain: all of the first coordinates of a relation (think of the domain as the inputs). 3, –1, 0 Range: all of the 2nd coordinates of a relation (think of the range as the outputs). 2, 5, 2 6-1 Relations6-1 Relations
- 4. You can think of a relation as a machine that uses numbers to produce other numbers. 6-1 Relations6-1 Relations
- 5. This machine adds 5 to any number you put into it. 5+x 17 22 11− 6− 0 56-1 Relations6-1 Relations
- 6. What relation does this machineWhat relation does this machine represent?represent? ? 2− 4 7 14− 2 1 1−6-1 Relations6-1 Relations
- 7. One possibility is that each numberOne possibility is that each number is multiplied by –2.is multiplied by –2. x2− 2− 4 7 14− 2 1 1−6-1 Relations6-1 Relations
- 9. Example 1