Functions Contents - A
     Prerequisites
      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
         Properties of exponents
         The rules for powers or exponents
         Order of operations
      Absolute value equations
      Linear Inequalities
      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 quadratic trinomials
         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
         Linear equation in one variable examples
      Linear Inequalities
         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
     Quadratic Equations and Quadratic Function
      Quadratic equation
         Solving quadratic equations by completing the square, the quadratic formula
         Solving quadratic equations by factoring, Vieta's formula
      Quadratic function or the second-degree polynomial
         Vertex (maximum/minimum) - coordinates of translation
         Roots or zeros of the function, axis of symmetry and y-intercept
      Transformations of the quadratic function's expression
      Graphing a quadratic function
         Transformations of the graph of the quadratic function
      Binomial equations
         Solving binomial equations
      Equations reducible to quadratic - biquadratic equations
         Solving equations reducible to quadratic
      Quadratic inequalities
         Solving quadratic inequalities
         Graphic solution of quadratic inequalities
      Absolute value equations, quadratic equations and functions
         Solving quadratic equations with absolute value
         Graphing absolute value functions or equations examples
      Radical or irrational equations
         Solving irrational or radical equations
 
 
   
 
   
 
   
   
 
   
 
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