CALCULUS Understanding Its Concepts and Methods

Function

A function**
f**
is a rule that assigns to each element
**
x**
of a set an element
*f*(*x*)
of a second set.

The
first set is the domain of
**
f**.

The
element
*f*(*x*)
is the value of
**
f**
at
**
x**.

A function** **of two variables
is a rule
**
f**
that assigns to each pair
(*x*,*y*)
in a set of pairs an element
**
f**(*x*,*y*).

The
set of pairs is the domain of
**
f**.

The
element
**
f**(*x*,*y*)
is the value of
**
f**
at
(*x*,*y*).

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Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.