Given the domain [-2,-1,0,1,2] determine the set of all possible ordered pairs and range for the relation:x+y=6 ?

1 Answer
Feb 20, 2018

See a solution process below:

Explanation:

To find the range we can first solve the equation for #y#:

#x + y = 6#

#x - color(red)(x) + y = 6 - color(red)(x)#

#0 + y = 6 - x#

#y = 6 - x#

Now, we can substitute each value in the domain for #x# to determine #y#;

#x = -2: y = 6 - (-2) = 6 + 2 = 8#; ordered pair is: #(-2, 8)#

#x = -1: y = 6 - (-1) = 6 + 1 = 7#; ordered pair is: #(-1, 7)#

#x = 0: y = 6 - 0 = 6#; ordered pair is: #(0, 6)#

#x = 1: y = 6 - 1 = 5#; ordered pair is: #(1, 5)#

#x = 2: y = 6 - 2 = 4#; ordered pair is: #(2, 4)#

The Range is #{8, 7, 6, 5, 4}#