Algebra
Lesson 4-3
Vocabulary: Mapping-Illustrates how each element of the domain is paired with an element in the range
Inverse-The inverse of any relation is obtained by switching the coordinates in each ordered pair
Examples: Express the relation{(3,5), (-2,-6), (-5,4), (7,-1), (4,5)}as a table, a graph, and a mapping.
Put all of the x coordinates in the x column.
Put all of the y coordinates in the y column.
| X | Y |
|
3 |
5 |
| -2 | -6 |
| -5 | 4 |
| 7 | -1 |
| -1 | 5 |
Put the X coordinates in the X circle and the Y coordinates in the Y circle. Connect the X coordinates to the Y coordinates. You only need one of each number of the X and Y coordinates.
Now just graph the points to finish the problem.
Inverse Relation-Express the relation shown in the mapping as a set of ordered pairs. Then write the inverse of the relation.
Relation-Notice that both 2 and 3 in the domain are paired with -4 in the range. {(2,-4),(3,-4),(5,-7),(6,-8)}
Inverse-Exchange x and y in each ordered pair to write the inverse relation. {(-4,2),(-4,3),(-7,5),(-8,6)}
OK here are some more examples for these ordered pairs{(3,2),(8,5),(-4,4),(8,2)}
Now for the inverse of the set of data it is just like the retrograde from music for those in Berg. You dont need to flip completly. You just need to flip the X and the Y. {(2,3),(5,8),(4,-4),(2,8)}
Sorry if this looks sloppy but it is hard to use paint. Yes the table and map is made in paint from scratch it took me awhile to get it right.
Additional Information: More examples for lesson 4-3
Online resources: Algebra Online Textbook
It shows everything about the coordinate plain. I know that isn't what this lesson is about but it may help for the graphing part. http://www.terragon.com/tkobrien/algebra/topics/orderdpairs/op.html
Pictures: -
This page by: Shelby, Christian, Duncan