ANSWER
{-11, -7, -3, 1, 5}
EXPLANATION
We are given the function:
f(x) = -2x + 1
The domain of the function is:
{-2, 0, 2, 4, 6}
To find the range of the function, we simply have to find the values of f(x) for each of the values of the domain given.
When x = -2:
f(x) = -2(-2) + 1
f(x) = 4 + 1
f(x) = 5
When x = 0:
f(x) = -2(0) + 1
f(x) = 0 + 1
f(x) = 1
When x = 2:
f(x) = -2(2) + 1
f(x) = -4 + 1
f(x) = -3
When x = 4:
f(x) = -2(4) + 1
f(X) = -8 + 1
f(x) = -7
When x = 6:
f(x) = -2(6) + 1
f(x) = -12 + 1
f(x) = -11
Therefore, the range of the function is {-11, -7, -3, 1, 5}