Functions and Equations - Research Article from Macmillan Science Library: Mathematics

This encyclopedia article consists of approximately 2 pages of information about Functions and Equations.
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Examples of Functions

A simple example of a function is y = f(x), where f(x) = x + 2. To each number x, add 2 to get y. When x is 3, y is 5, and when x is 4, y is 6. The value y of the function, f(x), depends on the choice of x. The input, or x, is called the independent variable, and the output, or y, is called the dependent variable.

Another example is a relationship between the positive integer set (domain) and the even number set (range). To each positive integer n, the function f(n) assigns a value of 2n. In symbols, f(n) = 2n.

In a function, each element of the domain must map to exactly one element of the range. However the opposite is not true. For example, f(x) = |x| is a function. Each value of f(x) corresponds to...

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This section contains 504 words
(approx. 2 pages at 300 words per page)
Buy the Functions and Equations Encyclopedia Article
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Macmillan Science Library: Mathematics
Functions and Equations from Macmillan Science Library: Mathematics. Copyright © 2001-2006 by Macmillan Reference USA, an imprint of the Gale Group. All rights reserved.
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