Write and equation for each vertical and horizontal asymptotes to the graph.
\[\frac{ 2x-2 }{ x^2+x-2 }\]
ik the asymptotes are at y=-2 and x=0 but im not sure what the question is asking
write an equation*
How did you get y=-2 and x=0?
if you graph it, the vertical is -2 and 0 is the horizontal
Horizontal is y=0
thats what i said...
You said x=0. but thats what it means by whats the equation. just y=0 for horizontal
ok then how would i justify that????
What do you mean?
it says Write an equation for each vertical and horizontal asymptote to the graph. Justify!
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
its larger in the denominator.. not the numerator?
Yep, my mistake, reverse it
o ok i was confused for a second haha
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the horizontal asymptote will be the domain restriction on the inverse
(x+2)(x-1)
wait what.....?
So x can not equal -2 and 1 right?
if it is a horizontal asymptote the equation will be y = something if its verticle the equation will be x = something
but those are discontinuities not asymptotes
but i need to JUSTIFY why
An asymptote http://en.wikipedia.org/wiki/Asymptote is a special kind of discontinuity
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