# Difference between revisions of "Function Command"

From GeoGebra Manual

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− | ; Function[Function f, Number a, Number b]: Yields a function that is | + | ; 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'']. |

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## 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*x*whose graph appears only in the interval [^{2}*-1*,*1*]. However, while`g(x) = 2 f(x)`will produce the function*g(x) = 2 x*as expected, this function is not restricted to the interval [^{2}*-1*,*1*].