Difference between revisions of "Function Command"

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{{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''].  
 
;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>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 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>.}}
 
:{{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|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.}}

Revision as of 16:18, 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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