Asymptote Command
- Asymptote( <Conic> )
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Yields both asymptotes of the conic.
Asymptote(x^2 - y^2 /4 = 1) returns line -2x + y = 0 and line -2x - y = 0.
- Asymptote( <Function> )
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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 non-rational functions such as ln(x). This syntax is not available in the Graphing and Geometry Apps
Asymptote((x^3 - 2x^2 - x + 4) / (2x^2 - 2)) returns the list {y = 0.5x - 1, x = 1, x = -1}.
- Asymptote( <Implicit Curve> )
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Yields a list containing all the asymptotes of the Implicit Curve.
Asymptote(x^3 + y^3 + y^2 - 3 x = 0) returns the list {x + y = -0.33}.