Difference between revisions of "Function Command"
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* This command should be used only to restrict the '''display''' interval of a function. To restrict the function’s domain or use it with the [[Sequence Command|Sequence command]], create a conditional function with the [[If Command|If command]], e.g. <br/><code>f(x) = If[-1 < x < 1, x²]</code>. | * This command should be used only to restrict the '''display''' interval of a function. To restrict the function’s domain or use it with the [[Sequence Command|Sequence command]], create a conditional function with the [[If Command|If command]], e.g. <br/><code>f(x) = If[-1 < x < 1, x²]</code>. | ||
* Example: <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'']. | * Example: <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'']. | ||
| − | * This command does not work with Tools / Macros. Use | + | * This command does not work with Tools / Macros. Use the [[If Command|If command]] as above. |
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Revision as of 23:35, 16 December 2011
- 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 or use it with the Sequence command, create a conditional function with 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]. - This command does not work with Tools / Macros. Use the If command as above.
