Difference between revisions of "Function Command"

From GeoGebra Manual
Jump to: navigation, search
(applied <tt> formatting)
(revert some text to pdf version)
Line 1: Line 1:
 
<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
 
<noinclude>{{Manual Page}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
; 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''].  
+
; 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''].  
 
<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|If]] command.
* 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''].
+
* 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>'' as expected, this function is not restricted to the interval [''-1'', ''1''].
 
</div>
 
</div>

Revision as of 20:38, 3 November 2009

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 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 as expected, this function is not restricted to the interval [-1, 1].
© 2021 International GeoGebra Institute