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End behaviour of functions

  1. Sep 30, 2012 #1
    1. The problem statement, all variables and given/known data

    My textbook tells me that "An even-degree polynomial function has the same end behavior" and "An odd-degree polynomial polynomial function has opposite end behaviors".

    Why is it that when I try to graph let's say "x^4 + 10x^3 + x^2 +x + 1" the end behaviors are opposite even though the function is an even-degree polynomial function?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 30, 2012 #2

    SammyS

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    Perhaps it's because you are graphing it over an itnerval which doesn't extend far enough.

    Here's a graph of your polynomial for -10.1 ≤ x ≤ 2.5 . (from WolframAlpha)

    attachment.php?attachmentid=51348&stc=1&d=1349027600.gif
     

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  4. Sep 30, 2012 #3
    Oh how silly of me. Thanks.
     
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