function
In German, the word 'Funktion' is used in a similar way to English. It refers to a specific task, duty, or role that a person or thing performs. In the context of mathematics or computing, 'Funktion' is used to describe a relation between a set of inputs and a set of permissible outputs.
The function of a part often determines its shape.
This sentence illustrates the use of 'Funktion' to mean 'function' or 'purpose', particularly in regard to physical or mechanical components.
The function of the heart is to pump blood through the body.
This sentence shows another usage of 'Funktion', here in a biological context, linking the purpose of an organ (the heart) to its main activity (to pump blood).
In this task you have to calculate the derivative of a function.
The term 'Funktion' is equally applicable within mathematical contexts, where it refers to a mathematical function. In this sentence, it shows the requirement to perform a specific mathematical operation, the calculation of a derivative.