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just take the terms with highest degree from top and bottom

like for 2x+1
the term with highest degree is 2x
for x^2-2x+1 the term with highest degree is?

x^2

right so your model for the first one is 2x/x^2 which can be reduced

Oh so when they ask for power function end behavior model it's asking for the highest power?

And it would simplify to \[\frac{ 2 }{ x }\] right?

\[\lim_{x \rightarrow \pm \infty } \frac{2}{x}=?\]

here are more examples:
http://chargermath.wikispaces.com/file/view/2-2+End+Behavior+Models.pdf

Wouldn't the horizontal asymptote be 0 when graphed?

yep
the horizontal asymptote would be y=0

for the first one

Okay. So for number 2 from my examples g(x)=2 and the horizontal asymptote equals.....2?

\[f(x)=\frac{4x^2-5x+6}{1} \\ g(x)=\frac{4x^2}{1}=4x^2\]

Oh okay that makes sense for the link problem 1.

yes g(x)=2 would be the model

and to find the horizontal aymsptote just evaluate:
\[y=\lim_{x \rightarrow \pm \infty}2\]

So it isn't 2?

yep

well y=2

horizontal equations come in the form y=a number

So the actual answer would be y=2?

just as the first one you asked about was y=0

by the way the one in the link doesn't have a horizontal asymptote

well the first one in that link I sent you

How did they get 1 as the final answer for problem 1 in the link?

they were just checking the right and left conditions

Why?

to see if it was a power function end behavior model

So that step proves that using the power method is correct?

yes
as the pdf stated we need both
\[\lim_{x \rightarrow \pm \infty}\frac{f(x)}{g(x)}=1 \]

this is to see f and g have the same kind of end behavior at both ends

and if that holds then yes it is end behavior model

35.) g(x)=x^2; H.A.: y=0

no ha

36.) g(x)=x; H.A.: DNE or undetermined?

Which part did I get wrong for 35?

no ha
as in no horizontal aymptote

there is no polynomial that has a horizontal asymptote

Oh okay. Was I right for the others?

just say dne

I should add what kind of line I was talking about
horizontal line

|dw:1441235784454:dw|

as we move out further and further from the origin in both left and right directions

Oh okay I got it. Thanks so much!

np
so the only real correction you need to make
35 and 36 do not have horizontal asymptotes

g(x)=x^2 and g(x)=x for 35 and 36 respectively look great

Okay