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Definition: The Function command in GeoGebra is used for defining a function on an interval.

GeoGebra Syntax: Function[ <function>, <start x-value>, <end x-value> ]

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GeoGebra InterActivity - Function[tan(x),-pi/2,pi/2]

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GeoGebra InterActivity - Function[x²,a,b] with sliders for a and b! Idea: Dani Novak

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Function[function, 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 in order to display functions in a certain interval.

Example: f(x) = Function[x^2, -1, 1] gives you the graph of function x² in the interval [-1,1]. If you then type in g(x) = 2 f(x) you will get the function g(x) = 2x², but this function is not restricted to the interval [-1, 1].

See also: Functions with GeoGebra, Conditional functions (piecewise defined functions)

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