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?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

- anonymous

- schrodinger

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- amistre64

i know...i know...pick me!!

- anonymous

hahah thanks

- 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...

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- 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

if its negative it flows down hill; left side up, right side down.... make sense?

- anonymous

you just saved my life. thank you <3

- amistre64

No prob :)

- anonymous

so if its still and even degreed function but just with a negative first term it is like a frown?

- amistre64

Yes, exactly....kinda depressing....

- anonymous

haha

- anonymous

can i give an example?

- anonymous

....

- amistre64

sorry, left for a sec.... yeah, ive me an example ...

- amistre64

*give....

- anonymous

alright.

- anonymous

\[x ^{4}+2x ^{3}-16x ^{2}-2x+15\]

- anonymous

positive lead, even degree, smiley face?

- 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

HUGE being relative, -infinity or infinity, both tend to be pretty massive :)

- amistre64

How about this one:
-4x^7 + 6x^2 -9; whats it doin at the ends?

- anonymous

hahah gets huge. good one.

- amistre64

remember "negative" is down....downhilll.....

- anonymous

ok ummm left up, right down

- amistre64

very good :) youre a natural

- anonymous

i get huge. i mean big. i mean good.

- anonymous

im a girl, just saying,

- amistre64

:) my daughters a girl too

- amistre64

how about:
9834x^743858 + 14x^32 -90 ?

- anonymous

nice.
postive, even. smiley

- anonymous

positive*

- amistre64

nuthin to it right? :)

- anonymous

ehh.

- amistre64

is that your impersonation of a canadian...

- amistre64

have you studied rational functions yet? with their vertical and horizontal asymptotes?

- anonymous

no not yet

- amistre64

we'll save that for another day then :) Ciao...

- anonymous

thank you!

Looking for something else?

Not the answer you are looking for? Search for more explanations.