If K = (x, y), find the corresponding range of y for the domain {0, 2, 4}. {-5, - 3, - 1} {0, 2, 4} {5, 7, 9}

The range = {-5, - 3, - 1} ⇒ first answer

Step-by-step explanation:

* In any equation the values of x are the domain of it and

the values of y are the range of it

* So to find the range of any equation substitute the values

of x (domain) in the equation to get the corresponding

values of y (range)

* In the problem

∵ K = { (x, y) : x - y = 5}

∵ The domain is {0, 2, 4}

* Lets find K (0), K (2), K (4)

∵ K (0) = (0) - y = 5

∴ - y = 5 ⇒ Multiply both sides by - 1

∴ y = - 5

∵ K (2) = (2) - y = 5

∴ 2 - y = 5 ⇒ subtract 2 from both sides

∴ - y = 3 ⇒ Multiply both sides by - 1

∴ y = - 3

∵ K (4) = (4) - y = 5

∴ 4 - y = 5 ⇒ subtract 4 from both sides

∴ - y = 1 ⇒ Multiply both sides by - 1

∴ y = - 1

* The range = {-5, - 3, - 1}