7. Inverse Linear Functions
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Exchange the x- and y-coordinates in each ordered pair.
{ (- 36.4,- 8), (- 15.4,- 2), (- 4.9,1), (9.1,5), (30.1,11)}
We can interpret the given table as a set of ordered pairs.
x | y | Ordered Pair |
---|---|---|
-8 | -36.4 | (-8,-36.4) |
-2 | -15.4 | (-2,-15.4) |
1 | -4.9 | (1,-4.9) |
5 | 9.1 | (5,9.1) |
11 | 30.1 | (11,30.1) |
To find the inverse of a relation written as coordinate pairs, we exchange the x- and y-coordinates of each ordered pair.
Given Point | Inverse Point |
---|---|
( -8, -36.4) | ( -36.4, -8) |
( -2, -15.4) | ( -15.4, -2) |
( 1, -4.9) | ( -4.9, 1) |
( 5, 9.1) | ( 9.1, 5) |
( 11, 30.1) | ( 30.1, 11) |
Let's write the inverse relation as a data set. { (-36.4,-8), (-15.4,-2), (-4.9,1), (9.1,5), (30.1,11)}