# Math Help - Describing end behavior

1. ## Describing end behavior

Describe the end behavior of the polynomial function f(x) = -2x^4 - 3x^3 +3x-5 (both as x --> ∞ and x --> -∞)
i cant remember how to write this correctly.
thanks

2. This polynomial is a degree 8 polynomial so its ends will go in the same direction. The negative leading coefficient (-2) indicates that that those ends will go in the negative direction, both as x approaches infinity and negative infinity.

3. Originally Posted by mollymcf2009
This polynomial is a degree 8 polynomial ...
correction ... degree 4 polynomial.

all even degree polynomials with negative leading coefficients have the same end behavior ...

$\lim_{x \to \infty} f(x) = -\infty$

$\lim_{x \to -\infty} f(x) = -\infty$

4. Sorry, you are correct Skeeter! My brain was thinking in factored form! Thank you for correcting!