Difference between revisions of "Function Command"

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<div class="note">'''Note:'''
 
<div class="note">'''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 with the [[If Command]].
 
* This command should be used only to restrict the display interval of a function.  To restrict the function’s domain, create a conditional function with the [[If Command]].
* Example: f(x) = Function[x^2, -1, 1] produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1''].  However, while g(x) = 2 f(x) will produce the function ''g(x) = 2 x<sup>2</sup>'', this function is not restricted to the interval [''-1'', ''1''].
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* Example: <tt>f(x) = Function[x^2, -1, 1]</tt> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1''].  However, while <tt>g(x) = 2 f(x)</tt> will produce the function ''g(x) = 2 x<sup>2</sup>'', this function is not restricted to the interval [''-1'', ''1''].
 
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Revision as of 04:03, 27 October 2009

Function[Function f, Number a, Number b]
Yields a function that is identical to the original function f, but whose graph is restricted to the interval [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 with the If Command.
  • 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, this function is not restricted to the interval [-1, 1].
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