# Difference between revisions of "Function Command"

From GeoGebra Manual

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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| | + | {{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 with the [[If Command|If command]], e.g. <br/><code>f(x) | + | * 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]], e.g. <br/><code>f(x) = If[-1 < x && x < 1, x²]</code>. |

− | * Example: <code>f(x) | + | * Example: <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'']. |

− | }} | + | </div>}} |

## Revision as of 01:45, 16 April 2011

- 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, e.g.
`f(x) = If[-1 < x && x < 1, x²]`

. - 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*].