Answer: The correct answer is: A) as x→-∞, f(x) →∞ as x→∞, f(x) →∞
Step-by-step explanation: This is because the leading term of the polynomial function is 4x^5, which is an odd-degree term with a positive coefficient. Therefore, as x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches positive infinity.