# Difference between revisions of "Function Command"

From GeoGebra Manual

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− | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}} |

− | {{command|function}} | ||

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;Function[ <List of Numbers> ] | ;Function[ <List of Numbers> ] | ||

: Yields the following function: The first two numbers determine the start ''x''-value and the end ''x''-value. The rest of the numbers are the ''y''-values of the function in between in equal distances. | : Yields the following function: The first two numbers determine the start ''x''-value and the end ''x''-value. The rest of the numbers are the ''y''-values of the function in between in equal distances. | ||

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:*<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular wave between ''x = 2'' and ''x = 4''. | :*<code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular wave between ''x = 2'' and ''x = 4''. | ||

:*<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''= 1'' between ''x = -3'' and ''x = 3''. </div>}} | :*<code>Function[{-3, 3, 0, 1, 2, 3, 4, 5}]</code> yields a linear equation with slope ''= 1'' between ''x = -3'' and ''x = 3''. </div>}} | ||

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; Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]: Restricts the visualization of the representative surface of a function of two variables in 3D space. | ; Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]: Restricts the visualization of the representative surface of a function of two variables in 3D space. | ||

{{Example|1=<div>The expression <code>a(x, y) = x + 0y</code> creates a function of two variables, whose graph in 3D space is the <b><u>plane</u></b> ''z'' = ''a''(''x'', ''y'') = ''x''.<br/> | {{Example|1=<div>The expression <code>a(x, y) = x + 0y</code> creates a function of two variables, whose graph in 3D space is the <b><u>plane</u></b> ''z'' = ''a''(''x'', ''y'') = ''x''.<br/> | ||

<code>Function[u, u, 0, 3, v, 0, 2] </code> creates the function of two variables ''b''(''u'', ''v'') = ''u'', whose graph in 3D space is the <b><u>rectangle</u></b> Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane ''z'' = ''a''(''x'',''y'') = ''x''.</div>}} | <code>Function[u, u, 0, 3, v, 0, 2] </code> creates the function of two variables ''b''(''u'', ''v'') = ''u'', whose graph in 3D space is the <b><u>rectangle</u></b> Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane ''z'' = ''a''(''x'',''y'') = ''x''.</div>}} |

## Revision as of 10:57, 5 August 2015

- Function[ <List of Numbers> ]
- Yields the following function: The first two numbers determine the start
*x*-value and the end*x*-value. The rest of the numbers are the*y*-values of the function in between in equal distances. **Example:**`Function[{2, 4, 0, 1, 0, 1, 0}]`

yields a triangular wave between*x = 2*and*x = 4*.`Function[{-3, 3, 0, 1, 2, 3, 4, 5}]`

yields a linear equation with slope*= 1*between*x = -3*and*x = 3*.

- Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]
- Restricts the visualization of the representative surface of a function of two variables in 3D space.

**Example:**

The expression

`a(x, y) = x + 0y`

creates a function of two variables, whose graph in 3D space is the __plane__*z*=*a*(*x*,*y*) =*x*.`Function[u, u, 0, 3, v, 0, 2] `

creates the function of two variables *b*(*u*,*v*) =*u*, whose graph in 3D space is the**Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane**__rectangle__*z*=*a*(*x*,*y*) =*x*.