Function Command

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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.
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:
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.
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