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End behaviour of functions

  • Thread starter zeion
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  • #1
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Homework Statement



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?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
SammyS
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Homework Statement



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?

Homework Equations



The Attempt at a Solution

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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  • #3
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Oh how silly of me. Thanks.
 

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