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Mathematics 14 Online
OpenStudy (anonymous):

Could someone explain to me (in your own words) end behavior of polynomials? Still having a difficult time comprehending them.

OpenStudy (anonymous):

Can you describe a little more what you mean by "end behavior"?

OpenStudy (anonymous):

x -> infinity y-> infinity

OpenStudy (anonymous):

or x-> - infinity y-> -infinity

OpenStudy (anonymous):

and so on...

OpenStudy (anonymous):

|dw:1323899724502:dw|

OpenStudy (anonymous):

Like if you see this how would you determine the end behavior?

OpenStudy (anonymous):

OK, well, the highest-power term in the polynomial will dominate what happens as X goes to infinity. for example if the polynomial is -4x^4 + 2x^2 + 9 then you can ignore everything but the x^4 term, since that will be much bigger than all the others as x gets large.

OpenStudy (anonymous):

Are you talking about evaluating a polynomial given an equation, or evaluating a graph?

OpenStudy (anonymous):

whichever

OpenStudy (anonymous):

If its a even degree function with a positive leading coefecient then it will end like this |dw:1323899805090:dw|

OpenStudy (anonymous):

If its a even degree function with a negative leading coeffecient then it will look like this |dw:1323899847663:dw|

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