Functions

To enter a function you can use previously defined variables (e. g. numbers, points, vectors) as well as other functions.

Example:

• Function f: f(x) = 3 x^3 – x^2
• Function g: g(x) = tan(f(x))
• Nameless function: sin(3 x) + tan(x)

Note: All available pre-defined functions (e. g. sin, cos, tan) are described in section Pre-defined Functions and Operators.

In GeoGebra you can also use commands to get for example, the integral and derivative of a function. You can use If Command to get Conditional Functions.

Note: You can also use the commands f'(x) or f''(x), … in order to get the derivatives of a previously defined function f(x).

Example: Define function f as f(x) = 3 x^3 – x^2. Then, you can type in g(x) = cos(f' (x + 2)) in order to get function g.

Furthermore, functions can be translated by a vector (see Translate Command) and a free function can be moved with the mouse by using the Move Tool. Other Transformation Commands can be also applied to functions, but in most cases the result is not a function but a curve.

Limit Function to Interval

In order to limit a function to an interval [a, b], you can use the Function Command or If Command.

Example: If[x≥3 ∧ x≤5,x^2] and Function[x^2,3,5] are equivalent definitions of function x² restricted to interval [3,5]