anonymous
  • anonymous
what are the ways to remember how the end behavior will be for graphing a polynomial function, like if the leading coefficient is positive and the degree is even what does it look like? leading coefficient +, and degree odd? leading -, degree even? leading -, odd?
Mathematics
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anonymous
  • anonymous
what are the ways to remember how the end behavior will be for graphing a polynomial function, like if the leading coefficient is positive and the degree is even what does it look like? leading coefficient +, and degree odd? leading -, degree even? leading -, odd?
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
i know...i know...pick me!!
anonymous
  • anonymous
hahah thanks
amistre64
  • amistre64
all even degreed function with a positive first term will have ends that go up in both directions like a "U". if the first term is negative, it flips it over and the ends will go down like a turned over bowl...

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amistre64
  • amistre64
all odd degreed function behave like a slanted line. if the first term is positive, they go uphill.... left side down, right side up
amistre64
  • amistre64
if its negative it flows down hill; left side up, right side down.... make sense?
anonymous
  • anonymous
you just saved my life. thank you <3
amistre64
  • amistre64
No prob :)
anonymous
  • anonymous
so if its still and even degreed function but just with a negative first term it is like a frown?
amistre64
  • amistre64
Yes, exactly....kinda depressing....
anonymous
  • anonymous
haha
anonymous
  • anonymous
can i give an example?
anonymous
  • anonymous
....
amistre64
  • amistre64
sorry, left for a sec.... yeah, ive me an example ...
amistre64
  • amistre64
*give....
anonymous
  • anonymous
alright.
anonymous
  • anonymous
\[x ^{4}+2x ^{3}-16x ^{2}-2x+15\]
anonymous
  • anonymous
positive lead, even degree, smiley face?
amistre64
  • amistre64
thats correct; all the other stuff does is make it dance around, but when the value of "x" gets HUGE, all that matters is the "x^4"..
amistre64
  • amistre64
HUGE being relative, -infinity or infinity, both tend to be pretty massive :)
amistre64
  • amistre64
How about this one: -4x^7 + 6x^2 -9; whats it doin at the ends?
anonymous
  • anonymous
hahah gets huge. good one.
amistre64
  • amistre64
remember "negative" is down....downhilll.....
anonymous
  • anonymous
ok ummm left up, right down
amistre64
  • amistre64
very good :) youre a natural
anonymous
  • anonymous
i get huge. i mean big. i mean good.
anonymous
  • anonymous
im a girl, just saying,
amistre64
  • amistre64
:) my daughters a girl too
amistre64
  • amistre64
how about: 9834x^743858 + 14x^32 -90 ?
anonymous
  • anonymous
nice. postive, even. smiley
anonymous
  • anonymous
positive*
amistre64
  • amistre64
nuthin to it right? :)
anonymous
  • anonymous
ehh.
amistre64
  • amistre64
is that your impersonation of a canadian...
amistre64
  • amistre64
have you studied rational functions yet? with their vertical and horizontal asymptotes?
anonymous
  • anonymous
no not yet
amistre64
  • amistre64
we'll save that for another day then :) Ciao...
anonymous
  • anonymous
thank you!

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