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 displayed outside of [''a'', ''b''].  
:{{Note|1=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>.}}
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:{{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=<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''].}}
 
 
:{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
 
:{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}}
  
 
 
{{betamanual|version=4.2|
 
 
;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.
 
;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=  
 
{{example|1=  
 
<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular wave between ''x=2'' and ''x=4''.
 
<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''.
 
<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''=1'' between ''x=-3'' and ''x=3''.
}}
 
 
}}
 
}}

Revision as of 14:34, 16 December 2012


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].
Note: This command is deprecated. To restrict the function’s domain, create a conditional function using the If command, e.g.
f(x) = If[-1 < x < 1, x²].
Note: This command does not work with Tools / Macros. Use the 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: 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.
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