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Mathematics 16 Online
OpenStudy (jessicawade):

what is the end behavior of this?

OpenStudy (jessicawade):

f(x)=-x^4-2x^3+3x+9

TheSmartOne (thesmartone):

We would need to graph it.

OpenStudy (jessicawade):

ok

TheSmartOne (thesmartone):

https://www.desmos.com/calculator/nbrk7jr5gv

TheSmartOne (thesmartone):

And look at both ends of the parabola and see which direction they go in.

OpenStudy (jessicawade):

ok

TheSmartOne (thesmartone):

And this might help you. http://www.purplemath.com/modules/polyends.htm

OpenStudy (jessicawade):

well they are both going negative i think

OpenStudy (zzr0ck3r):

since the highest degree is even we know this will be a smiley or frowny, since its a negative coefficient we know it will be frowny

OpenStudy (jessicawade):

wait i think i found it lol

OpenStudy (jessicawade):

OpenStudy (jessicawade):

um its infinity, negative infin. ,negative infin, negative infin

OpenStudy (jessicawade):

@TheSmartOne

OpenStudy (jessicawade):

did i get it right?

TheSmartOne (thesmartone):

yes both go to \(\ -\infty\)

TheSmartOne (thesmartone):

yes they**

OpenStudy (jessicawade):

they are all negative except the one

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