Difference between revisions of "Function Command"
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| − | ; Function[Function f, Number a, Number 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'']. |
<div class="note">'''Note:''' | <div class="note">'''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 with the [[If Command|If]] command. | * This command should be used only to restrict the display interval of a function. To restrict the function’s domain, create a conditional function with the [[If Command|If]] command. | ||
* Example: <tt>f(x) = Function[x^2, -1, 1]</tt> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1'']. However, while <tt>g(x) = 2 f(x)</tt> will produce the function ''g(x) = 2 x<sup>2</sup>'' as expected, this function is not restricted to the interval [''-1'', ''1'']. | * Example: <tt>f(x) = Function[x^2, -1, 1]</tt> produces a function equal to ''x<sup>2</sup>'' whose graph appears only in the interval [''-1'', ''1'']. However, while <tt>g(x) = 2 f(x)</tt> will produce the function ''g(x) = 2 x<sup>2</sup>'' as expected, this function is not restricted to the interval [''-1'', ''1'']. | ||
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Revision as of 12:30, 11 December 2010
- 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 with the If command.
- Example: f(x) = Function[x^2, -1, 1] produces a function equal to x2 whose graph appears only in the interval [-1, 1]. However, while g(x) = 2 f(x) will produce the function g(x) = 2 x2 as expected, this function is not restricted to the interval [-1, 1].
