State the end behavior of the function. f(x) = 5x⁴ + 2x³ - 5x²- 5x - 3 A) down/up B) up/down C) down/down D) up/up

Question

Quizplus · Accepted Answer

The leading term of the function $f(x) = 5x^{14} + 2x^{13} - 5x^{12} - 5x - 3$ is $5x^{14}$. Since the coefficient of the leading term (5) is positive and the degree (14) is even, both ends of the graph will go up as $x$ approaches infinity and negative infinity.

State the End Behavior of the Function