Difference between revisions of "Function Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|function}} | {{command|function}} | ||
| − | ; Function[Function f, Number a, Number b]: Yields a function graph, that is equal to ''f'' on the interval [''a'', ''b''] and not defined outside of [''a'', ''b'']. | + | ;Function[Function f, Number a, Number b]: Yields a function graph, that is equal to ''f'' on the interval [''a'', ''b''] and not defined outside of [''a'', ''b'']. |
| − | {{Note|1=<div> | + | :{{Note|1=<div>This command should be used only to restrict the '''display''' interval of a function. To restrict the function’s domain, create a conditional function using the [[If Command|If command]], e.g. <br/><code>f(x) = If[-1 < x < 1, x²]</code>.}} |
| − | + | :{{example|1=<code>f(x) = Function[x^2, -1, 1]</code> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1'']. However, while <code>g(x) = 2 f(x)</code> will produce the function ''g(x) = 2 x<sup>2</sup>'' as expected, this function is not restricted to the interval [''-1'', ''1''].}} | |
| − | + | :{{Note|1=This command does not work with Tools / Macros. Use the [[If Command|If command]] as above.}} | |
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{{betamanual|version=4.2| | {{betamanual|version=4.2| | ||
| − | + | ;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|1= |
| + | <code>Function[{2, 4, 0, 1, 0, 1, 0}]</code> yields a triangular function 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''. | ||
| + | }}}} | ||
Revision as of 16:00, 9 July 2012
- Function[Function f, Number a, Number b]
- Yields a function graph, that is equal to f on the interval [a, b] and not defined outside of [a, b].
- Note:This command should be used only to restrict the display interval of a function. To restrict the function’s domain, create a conditional function using the If command, e.g.
f(x) = If[-1 < x < 1, x²]. - Example:
f(x) = Function[x^2, -1, 1]produces a function equal to x2 whose graph appears only in the interval [-1, 1]. However, whileg(x) = 2 f(x)will produce the function g(x) = 2 x2 as expected, this function is not restricted to the interval [-1, 1].
- Note: This command does not work with Tools / Macros. Use the If command as above.
 |
Following text is about a feature that is supported only in GeoGebra 4.2.
Example: Function[{2, 4, 0, 1, 0, 1, 0}] yields a triangular function 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. |
