Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24? A.{12, 4, - 6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, - 4, 6}

{12, 4, - 6}

Step-by-step explanation:

The relation is given by the equation as 12x + 6y = 24 ... (1)

Now, the domain of this function is {-4, 0, 5}

We have to find the range of this function corresponding to the given domain.

Now, for x = - 4,

12 (-4) + 6y = 24 {From equation (1) }

⇒ 6y = 72

⇒ y = 12

Now, for x = 0,

12 (0) + 6y = 24 {From equation (1) }

⇒ 6y = 24

⇒ y = 4

Now, for x = 5,

12 (5) + 6y = 24 {From equation (1) }

⇒ 6y = - 36

⇒ y = - 6

Hence, the range for the relation is {12, 4, - 6} (Answer)