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Asymptotes incorrectly computed
Not a Problem
Geogebra Classic 5.0.425.0d
Detrmination of asymptotes is unreliable.
Hereafter some examples.
The asymptotes determined by Geogebra for the following functions are incorrect !
t(x) = sqrt(2x  3) / sqrt(2x²  3)
u(x) = sqrt(3x²  2) / sqrt(2x + 1)
P. Henrotay
 GeoGebra
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I think that the problem is not related to the asymptotes themselves, but to the domain of each function, that is rarely acknowledged by a software. Try the same functions in wolfram alpha and you'll get the same results.
This is why extra asymptotes are shown.
directly from help
Asymptote( <Function> ) GeoGebra will attempt to find the asymptotes of the function and return them in a list. It may not find them all, for example vertical asymptotes of nonrational functions such as ln(x).
I think the asymptotes are right but the graphs are wrong. Strictly the graphs of these should be the same:
(but that's not something we'll be fixing)
i am not accord. they have different domains like log(f(x))log(g(x)) and log(f(x)/g(x)) or (sqrt(x) + sqrt(x²  2))² and x² + x  2sqrt(x³  2x)  2
first case: both positive
second case: both equal sign
our formulas for functions are true only in the intersection of the domains of the functions
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