Function Command

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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].
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, 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].
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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