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Mathematics 8 Online
OpenStudy (anonymous):

Write and equation for each vertical and horizontal asymptotes to the graph.

OpenStudy (anonymous):

\[\frac{ 2x-2 }{ x^2+x-2 }\]

OpenStudy (anonymous):

ik the asymptotes are at y=-2 and x=0 but im not sure what the question is asking

OpenStudy (anonymous):

write an equation*

OpenStudy (anonymous):

How did you get y=-2 and x=0?

OpenStudy (anonymous):

if you graph it, the vertical is -2 and 0 is the horizontal

OpenStudy (anonymous):

Horizontal is y=0

OpenStudy (anonymous):

thats what i said...

OpenStudy (anonymous):

You said x=0. but thats what it means by whats the equation. just y=0 for horizontal

OpenStudy (anonymous):

ok then how would i justify that????

OpenStudy (anonymous):

What do you mean?

OpenStudy (anonymous):

it says Write an equation for each vertical and horizontal asymptote to the graph. Justify!

OpenStudy (anonymous):

Well since the exponent on x is larger in the numerator than it is in the denominator that always means theres a horizontal asymptote of y=0

OpenStudy (anonymous):

its larger in the denominator.. not the numerator?

OpenStudy (anonymous):

Yep, my mistake, reverse it

OpenStudy (anonymous):

o ok i was confused for a second haha

OpenStudy (skullpatrol):

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OpenStudy (zzr0ck3r):

the horizontal asymptote will be the domain restriction on the inverse

OpenStudy (anonymous):

(x+2)(x-1)

OpenStudy (anonymous):

wait what.....?

OpenStudy (skullpatrol):

So x can not equal -2 and 1 right?

OpenStudy (zzr0ck3r):

if it is a horizontal asymptote the equation will be y = something if its verticle the equation will be x = something

OpenStudy (anonymous):

but those are discontinuities not asymptotes

OpenStudy (anonymous):

but i need to JUSTIFY why

OpenStudy (skullpatrol):

An asymptote http://en.wikipedia.org/wiki/Asymptote is a special kind of discontinuity

OpenStudy (skullpatrol):

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