Function Command
From GeoGebra Manual
- Function[ <Function f>, <Start x-Value a>, <End x-Value b> ]
- Yields a function graph, that is equal to f on the interval [a, b] and not displayed outside of [a, b].
- Example:
Function[x^2, -1, 1]yields the function graph of x^2 in the interval [-1, 1].
- Note: This command is deprecated. To restrict the function’s domain, create a conditional function using the If command.
- Example:
f(x) = If[-1 < x < 1, x²].
- 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.
Note: This command does not work with Tools / Macros. Use the If command as above.
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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. |
