McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
7. Inverse Linear Functions
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Exercise 10 Page 267

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)}

Practice makes perfect

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)}