Difference between revisions of "Function Command"

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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</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 defined outside of [''a'', ''b''].  
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;Function[Function f, Number a, Number b]: Yields a function graph, that is equal to ''f'' on the interval [''a'', ''b''] and not defined outside of [''a'', ''b''].  
{{Note|1=<div>
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:{{Note|1=<div>This command should be used only to restrict the '''display''' interval of a function.  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>.}}
* This command should be used only to restrict the '''display''' interval of a function.  To restrict the function’s domain or use it with the [[Sequence Command|Sequence command]], create a conditional function with the [[If Command|If command]], e.g. <br/><code>f(x) = If[-1 < x < 1, x²]</code>.
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:{{example|1=<code>f(x) = Function[x^2, -1, 1]</code> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1''].  However, while <code>g(x) = 2 f(x)</code> will produce the function ''g(x) = 2 x<sup>2</sup>'' as expected, this function is not restricted to the interval [''-1'', ''1''].}}
* Example: <code>f(x) = Function[x^2, -1, 1]</code> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1''].  However, while <code>g(x) = 2 f(x)</code> will produce the function ''g(x) = 2 x<sup>2</sup>'' as expected, this function is not restricted to the interval [''-1'', ''1''].
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:{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
* This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.
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</div>}}
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{{betamanual|version=4.2|
 
{{betamanual|version=4.2|
{{Note|1=From GeoGebra 4.2, Function[ <List of Numbers> ] has been added for use by the Freehand Tool. The first two numbers are the start and end of the function and the rest of the numbers are the heights. For example <code>Function[{2, 4, 0, 1, 0, 1, 0}] </code> makes a triangular function between x=2 and x=4}}
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;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.
}}
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{{example|1=
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<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular function between ''x=2'' and ''x=4''.
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<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''=1'' between ''x=-3'' and ''x=3''.
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}}}}

Revision as of 16:00, 9 July 2012


Function[Function f, Number a, Number b]
Yields a function graph, that is equal to f on the interval [a, b] and not defined outside of [a, b].
Note:
This command should be used only to restrict the display interval of a function. To restrict the function’s domain, create a conditional function using the If command, e.g.
f(x) = If[-1 < x < 1, x²].
Example: f(x) = Function[x^2, -1, 1] produces a function equal to x2 whose graph appears only in the interval [-1, 1]. However, while g(x) = 2 f(x) will produce the function g(x) = 2 x2 as expected, this function is not restricted to the interval [-1, 1].
Note: This command does not work with Tools / Macros. Use the If command as above.


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