Given the domain - 4,0,5 what is the range for 12x+6y=24

The range is - 6, 4, 12.

Step-by-step explanation:

If the domain is - 4,0,5, x can only be - 4 or 0 or 5.

Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.

Sub x for - 4

12x+6y=24

12 (-4) + 6y=24

-48+6y=24

6y = 72

y = 12

Sub x for 0

12x+6y=24

12 (0) + 6y=24

6y = 24

y = 4

Sub x for 5

12x+6y=24

12 (5) + 6y=24

60 + 6y = 24

6y = - 36

y = - 6

The possible values of y are - 6, 4,12 which is the range.

In set notation: R = y

Range for - 4,0,5 are 12,4,-6. (-4, 12), (0,4), (5,-6)