Difference between revisions of "Function Command"

Latest revision as of 17:15, 7 October 2017

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.

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 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
-{{command|function}}
+;Function( &lt;List of Numbers> )
-;Function[Function f, Number a, Number b]: Yields a function graph, that is equal to ''f'' on the interval [''a'', ''b''] and not displayed outside of [''a'', ''b''].
+: 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.
-:{{Note|1='''This command is deprecated.'''  To restrict the function’s domain, create a conditional function using the [[If Command|If command]], e.g. <br/><code>f(x) = If[-1 < x < 1, x²]</code>.}}
+:{{example|1= <div>
-:{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
+:*<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular wave between ''x = 2'' and ''x = 4''.
+:*<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''= 1'' between ''x = -3'' and ''x = 3''. </div>}}
+; 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.
-;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|1=<div>The expression <code>a(x, y) = x + 0y</code> creates a function of two variables, whose graph in 3D space is the <b><u>plane</u></b> ''z'' = ''a''(''x'', ''y'') = ''x''.<br/><code>Function[u, u, 0, 3, v, 0, 2] </code>  creates the function of two variables ''b''(''u'', ''v'') = ''u'',  whose graph in 3D space is the <b><u>rectangle</u></b> Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane ''z'' = ''a''(''x'',''y'') = ''x''.</div>}}
-{{example|1=
-<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular wave between ''x=2'' and ''x=4''.
-<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''=1'' between ''x=-3'' and ''x=3''.
-}}

Difference between revisions of "Function Command"

Latest revision as of 17:15, 7 October 2017

Function

Command Categories (All commands)