Answer:
Tthe range is
{10, 9, 7, 4, 1}
Step-by-step explanation:
Given 2x + 2y = 14 with domain {-3,-2,0,3,6}, we find the range by replacing x with each of the members of the domain and calculating the corresponding y-value.
It's easier to solve 2x + 2y = 14 for y first:
2y = 14 - 2x, or y = 7 - x
Replacing x with -3 (the first member of the domain), we get
y = 7 - (-3) = 10. Thus, the first member of the range is 10.
Continuing, we get y = 7 - {-2, 0, 3, 6} = {9, 7, 4, 1}, so that the range is
{10, 9, 7, 4, 1}
