Difference between revisions of "Function Command"
From GeoGebra Manual
Noel Lambert (talk | contribs) (added description and example) |
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| − | ; Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]: | + | ; 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> | + | {{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>}} | |
}} | }} | ||
Revision as of 09:27, 20 May 2013
- Function[Function f, Number a, Number b]
- Yields a function graph, that is equal to f on the interval [a, b] and not displayed outside of [a, b].
- Note: This command is deprecated. To restrict the function’s domain, create a conditional function using the If command, e.g.
f(x) = If[-1 < x < 1, x²]. - Note: This command does not work with Tools / Macros. Use the If command as above.
- 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.
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Following text is about a feature that is supported only in GeoGebra 5.0.
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. |
