Answer:
{(0, 5), (-16, -1), (12, 4)}
Explanation:
Given the coordinate transformation f(x, y) = (- 2x, y) and the domain (0, 5), (8, - 1) and (- 6, 4), to get the range, we will get f(x, y) for all the domain values
For the coordinate (0,5);
f(0, 5) = (-2(0), 5)
f(0, 5) = (0, 5)
For the coordinate (8, -1);
f(8, -1) = (-2(8), -1)
f(8, -1) = (-16, -1)
For the coordinate (-6, 4);
f(-6, 4) = (-2(-6), 4)
f(0, 5) = (12, 4)
Hence the range is {(0, 5), (-16, -1), (12, 4)}