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Polynomial End Behavior With Odd Degree

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Let p(x)=axn+bxn−1+...+cp(x) = ax^n + bx^{n-1} + ... + c be a polynomial function where the leading coefficient a>0a > 0 and the degree nn is odd. Which statement describes the end behavior of p(x)p(x) as x→−∞x \to -\infty?

A

lim⁡x→−∞p(x)=∞\lim_{x \to -\infty} p(x) = \infty

B

The limit does not exist

C

lim⁡x→−∞p(x)=−∞\lim_{x \to -\infty} p(x) = -\infty

D

lim⁡x→−∞p(x)=0\lim_{x \to -\infty} p(x) = 0

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