Difference between revisions of "Asymptote Command"

Latest revision as of 14:05, 30 January 2019

Asymptote( <Conic> ): Yields both asymptotes of the conic.; Example: Asymptote(x^2 - y^2 /4 = 1) returns line -2x + y = 0 and line -2x - y = 0.

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 non-rational functions such as ln(x). This syntax is not available in the Graphing and Geometry Apps; Example: Asymptote((x^3 - 2x^2 - x + 4) / (2x^2 - 2)) returns the list {y = 0.5x - 1, x = 1, x = -1}.

Asymptote( <Implicit Curve> ): Yields a list containing all the asymptotes of the Implicit Curve.; Example: Asymptote(x^3 + y^3 + y^2 - 3 x = 0) returns the list {x + y = -0.33}.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|conic}}
-{{command|conic}}
+; Asymptote( <Conic> )
-; Asymptote[ <Hyperbola> ]: Yields both asymptotes of the hyperbola.
+: Yields both asymptotes of the conic.
-; 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 non-rational functions such as ln(x).
+:{{example|1=<code>Asymptote(x^2 - y^2 /4 = 1)</code> returns line ''-2x + y = 0'' and line ''-2x - y = 0''.}}
-; Asymptote[ <Implicit Curve> ]: Yields a list containing all the asymptotes of the Implicit Curve.
+; 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 non-rational functions such as ln(x). '''This syntax is not available in the Graphing and Geometry Apps'''
+:{{example|1=<code>Asymptote((x^3 - 2x^2 - x + 4) / (2x^2 - 2))</code> returns the list ''{y = 0.5x - 1, x = 1, x = -1}''.}}
+; Asymptote( <Implicit Curve> )
+: Yields a list containing all the asymptotes of the Implicit Curve.
+:{{example|1=<code>Asymptote(x^3 + y^3 + y^2 - 3 x = 0)</code> returns the list ''{x + y = -0.33}''.}}