Hi what would be the range of x(x+2)(x+1)(x-3)(x+6i)(x-6i)

Question

range of x(x+2)(x+1)(x-3)(x+6i)(x-6i)

Answer 1

Since the domain roots specifically include complex numbers, domain can be considered the real numbers plus the two complex numbers 6i and -6i. There is no constraint on the real numbers available for domain.

However, since the highest power of the function is even and that term is positive, the value will never reach minus infinity. When x approaches minus infinity, the function value approaches plus infinity. The minimum value is not easy to find, but at x=1, the function = -432 so at least the range is (-432,+∞)

Answer 2

The concept of range applies only to relations/functions.

You present only a factored polynomial.