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}

Answer:{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)