Let
f(z) = z^2 if z is not real
f(z) = -z^2 if z is real
Find f(i) + f(1) + f(-1) + f(-i).
f(i) = i^2 = -1
f(-i) = (-i)^2 = (-1^2) * i^2 = 1 * -1 = -1
f(1) = - (-1 )^2 = -1 (1) = -1
f(1) = - (1^2) = -1 (1) = -1
Add them up = -4