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Which of the following correctly identifies the End Behavior?

A) as x→-∞, f(x) →∞

as x→∞, f(x) →∞

B) as x→-∞, f(x) →∞

as x→∞, f(x) →-∞

C) as x→-∞, f(x) →-∞

as x→∞, f(x) →-∞

D) as x→-∞, f(x) →-∞

as x→∞, f(x) →∞

Which of the following correctly identifies the End Behavior? A) as x→-∞, f(x) →∞ as-example-1

1 Answer

3 votes

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.

User Keith Beard
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