Difference between revisions of "Function Command"
From GeoGebra Manual
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}} |
− | {{command|function}} | + | ;Function( <List of Numbers> ) |
− | ;Function | ||
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: 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. | ||
:{{example|1= <div> | :{{example|1= <div> | ||
:*<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>}} | ||
− | + | ; 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/><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>}} | |
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− | {{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> | ||
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Latest revision as of 17:15, 7 October 2017
- 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 rectangle Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane z = a(x,y) = x.