Difference between revisions of "Function Command"

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; 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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; Function[ <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]: Restricts the visualization of the representative surface of a function of two variables in 3D space.
  
{{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/>
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{{Example|1=<div>The expression <code>a(x, y) = x + 0y</code> creates a function of two variables, whose graph in 3D space is the <b><u>plane</u></b> ''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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<code>Function[u, u, 0, 3, v, 0, 2] </code>  creates the function of two variables ''b''(''u'', ''v'') = ''u''whose graph in 3D space is the <b><u>rectangle</u></b> Polygon[(0, 0, 0), (3, 0, 3), (3, 2, 3), (0, 2, 0)] contained in plane ''z'' = ''a''(''x'',''y'') = ''x''.</div>}}
  
 
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Revision as of 09:27, 20 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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