Answer:
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}
