Abstract
If x and y are two variable quantities, and if there is a rule which assigns a unique value of y to a given value of x, then y is called a function of x, using the notation y = f(x). The variable x is called the independent variable or the argument of the function y. The values of x, to which a value of y is assigned, form the domain D of the function f(x). The variable y is called the dependent variable; the values of y form the range W of the function f(x). Functions can be represented by the points (x, y) as curves, or graphs of the function.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bronshtein, I., Semendyayev, K., Musiol, G., Mühlig, H. (2015). Functions. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46221-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-46221-8_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-46220-1
Online ISBN: 978-3-662-46221-8
eBook Packages: EngineeringEngineering (R0)