Domain of a binary relation: R = [(x, y) { y = -2x + 1} is the set of {0,4,8}. Find its range?

[-1, -9, -17]

[0, 7, -16]

[1, 9, 15]

None of these

To find the range of the binary relation R, substitute each value of x from the domain {0, 4, 8} into the equation y = -2x + 1:

For x = 0:

y = -2(0) + 1

= 1

For x = 4:

y = -2(4) + 1

= -7

For x = 8:

y = -2(8) + 1

= -15

The corresponding y-values are {1, -7, -15}. Adding 2 to each element in the set {-1, -9, -17} gives the range.