Question

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

Answer 1

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

Answer 2

The range is -6, 4 , 12.

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=-6,4,12