6. Relations
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The first number in each pair is the x-value and the second number is the corresponding y-value.
Table:
| x | y |
|---|---|
| 4 | 3 |
| - 2 | 2 |
| 5 | - 6 |
Graph:
Mapping:
Domain: {- 2, 4, 5}
Range: {- 6, 2, 3}
To express the set of given ( x, y) ordered pairs in a table, we will list all of the x-values in one column and all of the y-values in another column.
| x | y |
|---|---|
| 4 | 3 |
| - 2 | 2 |
| 5 | - 6 |
To show a relation of ordered pairs ( x, y) as a mapping, we will list all of the unique x-values in one vertical list and all unique y-values in another vertical list. Then, we can use arrows to connect corresponding x- and y-values.
The domain of this relation is the set of all unique x-values and the range is the set of all unique y-values. Domain:& {- 2, 4, 5} Range:& {-6,2,3}