Answer:
A) False
B) True
C) False
Explanation:
(a) False. Not all non-constant polynomials have a solution in the complex plane. For example, the polynomial 2 does not have any solutions.
(b) True. Every non-constant polynomial has at least one solution in the complex plane. So, a non-constant function that is defined everywhere on the complex plane must have at least one solution.
(c) False. Non-constant functions that are defined everywhere in the complex plane can be bounded. There are functions that are not constant but still have a limited range and do not go to infinity.