could you help me determine the end behavior with this equation?

Algebra
Tutor: None Selected Time limit: 1 Day

f(x)= -1/4x^6 +4x^4 -x^3 +7

Oct 8th, 2015

Hello

With a negative leading coefficient?

Graph:


Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 8th, 2015

so what would the end behavior be?

Oct 8th, 2015

wait wouldnt it be reflected over the x since theres a negative?

Oct 8th, 2015

That is what the end behavior would be called for the given function (Answer is: "with a negative leading coefficient"). Can also read more here on this topic:

http://www.purplemath.com/modules/polyends.htm

Basically you're checking if the right hand side of the graph signals a positive or negative function.

Oct 8th, 2015

To your second question you can still write it as (-1/4) x^6 due to the order of division and multiplication

Oct 8th, 2015

i thought the end behavior had to have infinity in it

Oct 8th, 2015

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Oct 8th, 2015
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