INDEX
Complex Numbers
Exponentiation
Algebraic Transformations
Algebraic Equations and Inequalities
Functions
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Numbers and Sets
Balloon

Introduction

About Algebra

Arithmetic Operations

Addition and Subtraction

Multiplication and Division

Criterions for Divisibility

Real Number System

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions
Absolute Values
Graphical Illustrations

Sets and Intervals

Sets

Subsets

Operations with Sets

Intervals



Absolute Values: Graphical Illustrations
Key Topics Remaining: Sets » Intervals

In the figures below, there are shown graphs of the functions  y = ± x  and  y = | x |.

(Put the pointer anywhere around the above figure to to get a graph of the function y = –x. )

Compaire also the other pair of graphs,

y = x2 – 4 x + 3  and  y = | x2 – 4 x + 3 |:


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