Difference between revisions of "Function Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|function}}
 
{{command|function}}
;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''].  
+
;Function[ <Function f>, <Start x-Value a>, <End x-Value b> ]
:{{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>.}}
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: Yields a function graph, that is equal to ''f'' on the interval [''a'', ''b''] and not displayed outside of [''a'', ''b''].  
:{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
+
:{{example|1=<code><nowiki>Function[x^2, -1, 1]</nowiki></code> yields the function graph of ''x^2'' in the interval [''-1'', ''1''].}}
 +
:{{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>.}}}}
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;Function[ <List of Numbers> ]
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: 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>
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:*<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>}}
 +
{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
  
;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=
 
<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''.
 
}}
 
  
 
{{betamanual|version=5.0|
 
{{betamanual|version=5.0|

Revision as of 14:27, 6 June 2013



Function[ <Function f>, <Start x-Value a>, <End x-Value b> ]
Yields a function graph, that is equal to f on the interval [a, b] and not displayed outside of [a, b].
Example: Function[x^2, -1, 1] yields the function graph of x^2 in the interval [-1, 1].
Note: This command is deprecated. To restrict the function’s domain, create a conditional function using the If command.
Example: f(x) = If[-1 < x < 1, x²].
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.


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