Functions Contents - A

The set of real numbers
Rational numbers
Irrational numbers
The real number line, and relations
Interval definition and notation
Distance and absolute value
Properties of the real numbers
The rules for powers or exponents
Order of operations
Absolute value equations

Absolute value inequalities
Solving linear inequalities with absolute value
Algebraic expressions
Expanding algebraic expression by removing parentheses
The binomial expansion algorithm
Factoring and expanding algebraic expressions, rules for transforming algebraic expressions
Factoring polynomials
Imaginary and Complex Numbers
Addition and subtraction of complex numbers
Multiplication and division of complex numbers
Polar or trigonometric notation of complex numbers
Multiplication and division of complex numbers in the polar form
Exponentiation and root extraction of complex numbers in the polar form
Powers and roots of complex numbers, use of de Moivre’s formulas
Euler’s formula, relationship between trigonometric functions and the complex exponential function
Linear equation in one variable
Solving linear equations

Solving inequalities
Properties of inequalities
Examples of solving single linear inequalities
Solving compound or double inequalities
Equations with Rational Expressions
Solving rational equations
Rational equations - Linear equations
Rational Inequalities
Method of solving rational inequalities
The graph of the translated equilateral or rectangular hyperbola

Solving quadratic equations by factoring, Vieta's formula
Quadratic function or the second-degree polynomial

Roots or zeros of the function, axis of symmetry and y-intercept
Transformations of the quadratic function's expression
Transformations of the graph of the quadratic function
Binomial equations

Absolute value equations, quadratic equations and functions
Solving quadratic equations with absolute value
Graphing absolute value functions or equations examples