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Math Help - Describing end behavior

  1. #1
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    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
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  2. #2
    Senior Member mollymcf2009's Avatar
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    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.
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  3. #3
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    Quote Originally Posted by mollymcf2009 View Post
    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
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  4. #4
    Senior Member mollymcf2009's Avatar
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    Sorry, you are correct Skeeter! My brain was thinking in factored form! Thank you for correcting!
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