Difference between revisions of "Function Command"
From GeoGebra Manual
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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> ]: This command allows you to restrict the representative surface in the 3D space of a function of two variables. |
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| + | {{Example|1=<div>By validate <code>a(x, y) = x + 0y</code> you create a bivariable function, 'a' will be represented in the 3D space as <b><u>plane</u></b> of equation z=a(x,y)=x.<br/> | ||
| + | By validate <code>Function[u,u,0,3,v,0,2] </code> you create a bivariable function b(u, v) = u, 'b' will be represented in the 3D space as <b><u>rectangle</u></b> Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] in plane of equation z=a(x,y)=x.</div>}} | ||
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Revision as of 18:48, 19 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: By validate a(x, y) = x + 0y you create a bivariable function, 'a' will be represented in the 3D space as plane of equation z=a(x,y)=x.By validate Function[u,u,0,3,v,0,2] you create a bivariable function b(u, v) = u, 'b' will be represented in the 3D space as rectangle Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] in plane of equation z=a(x,y)=x. |
