7. Inverse Linear Functions
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Exchange the x- and y-coordinates in each ordered pair.
{ (7.4,- 3), (4,- 1), (0.6,1), (- 2.8,3), (- 6.2,5)}
We can interpret the given table as a set of ordered pairs.
x | y | Ordered Pair |
---|---|---|
-3 | 7.4 | (-3,7.4) |
-1 | 4 | (-1,4) |
1 | 0.6 | (1,0.6) |
3 | -2.8 | (3,-2.8) |
5 | -6.2 | (5,-6.2) |
To find the inverse of a relation written as a table, we exchange the x- and y-coordinates of each ordered pair.
Given Point | Inverse Point |
---|---|
( -3, 7.4) | ( 7.4, -3) |
( -1, 4) | ( 4, -1) |
( 1, 0.6) | ( 0.6, 1) |
( 3, -2.8) | ( -2.8, 3) |
( 5, -6.2) | ( -6.2, 5) |
Let's write the inverse relation as a data set. { (7.4,- 3), (4,- 1), (0.6,1), (- 2.8,3), (- 6.2,5)}