Difference between revisions of "Function Command"

Revision as of 13:09, 6 October 2013

Function[ <Function>, <Start x-Value>, <End x-Value> ]

Note:

This command is deprecated.

To restrict a function’s domain, instead use the If command:

Example: f(x) = If[-1 <= x <= 1, x^2].

Function[ <List of Numbers> ]

Yields the following function: The first two numbers determine the start x-value and the end x-value. The rest of the numbers are the y-values of the function in between in equal distances.

Example:

Function[{2, 4, 0, 1, 0, 1, 0}] yields a triangular wave between x = 2 and x = 4.
Function[{-3, 3, 0, 1, 2, 3, 4, 5}] yields a linear equation with slope = 1 between x = -3 and x = 3.

Note: This command does not work with Tools / Macros. Use the If command as above.

Following text is about a feature that is supported only in GeoGebra 5.0.

Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]: Restricts the visualization of the representative surface of a function of two variables in 3D space.

Example:

The expression a(x, y) = x + 0y creates a function of two variables, whose graph in 3D space is the plane z = a(x, y) = x.
Function[u, u, 0, 3, v, 0, 2] creates the function of two variables b(u, v) = u, whose graph in 3D space is the rectangle Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane z = a(x,y) = x.

@@ Line 2: / Line 2: @@
 {{command|function}}
 ;Function[ <Function>, <Start x-Value>, <End x-Value> ]
-: Yields a function graph, that is equal to the given function on the interval [''Start x-Value'', ''End x-Value''] and not displayed outside of [''Start x-Value'', ''End x-Value''].
+:{{Note|1=<pre style="color: red">This command is deprecated.</pre> To restrict a function’s domain, instead use the [[If Command|If command]]:
-:{{example|1=<code><nowiki>Function[x^2, -1, 1]</nowiki></code> yields the function graph of ''x^2'' in the interval [''-1'', ''1''].}}
+::{{example|1=<code><nowiki>f(x) = If[-1 <= x <= 1, x^2]</nowiki></code>.}}}}
-:{{Note|1=This command is deprecated. To restrict the function’s domain, create a conditional function using the [[If Command|If command]].
-::{{example|1=<code><nowiki>f(x) = If[-1 < x < 1, x²]</nowiki></code>.}}}}
 ;Function[ <List of Numbers> ]
 : Yields the following function: The first two numbers determine the start ''x''-value and the end ''x''-value. The rest of the numbers are the ''y''-values of the function in between in equal distances.

Difference between revisions of "Function Command"

Revision as of 13:09, 6 October 2013

Function

Command Categories (All commands)