PREPARING Become a MATIZEN What is Math Planet ? A Crash Course on      Algebra A Crash Course on      Geometry   EXPLORING Advanced Math Topic Customized Lessons SAT & ACT Reviews   INTERACTING Math Games Discussion Forum Math Live! Chat   COLLECTING Math Search MATIZEN Qualifi-      -cation Test Acknowledgements The Creatures Behind      the Math Planet        ©1998 ThinkQuest        team 16284    All rights reserved

Chapter 7: Functions

Coordinate Plane   

    Function is a relation in which each element of the domain is paired with exactly one element of the range. It means that for every X value on the coordinate plane, there is one and only one Y value. If a second Y value exists for the same X value, the graph is not a function.

    Before we dive into the discussions of the functions, we need to talk little more about the coordinate plane. Each coordinate on the coordinate plane is made up of X coordinate and Y coordinate. Two coordinates are equal if both its X and Y coordinates are the same. This is called the Equality of ordered pairs. It states that for all real numbers a, b, c, and d, (a, b) = (c, d) if and only if a = c and b = d. A relation is a set of ordered pairs.

Coordinate Plane

Functions   

    A relation is function if and only if each element of the domain is paired with exactly one element of the range. The domain is represented in X coordinate and the range is represented in Y coordinate. A relation is a one to one function if and only if each element of the domain is associated with a unique element of the range, and each element of the range is associated with a unique element of the domain. This means that the inverse of a function is also a function. There are mainly three types of functions. They are linear functions, polynomial functions, and exponential and logarithm functions.

You can also jump to the chapter of your choice by using the drop-down list at below.