Pre Calculus


1) Functions and their Graphs:  
A function an equation that each domain has only one range. 
·       Properties of Lines

·       Basic Functions, Functions and Graphs

·       Transformations (Shifts, Stretches, and Reflections)

·       Combination of Functions

2) Polynomials and Rational Functions

  • Quadratic Functions
  • Polynomial Functions (Monotonic, one to one, Horizontal line test)
  • Synthetic Division
  • Real Zeroes complex Numbers
  • Rational Functions
  • The Fundamental Theorem of Algebra
3) Exponential and Logarithmic Functions

  • Exponential Functions and their Graphs
  • Logarithmic Functions and their Graphs
  • Properties of Logarithms 
  • Solving Exponential and Logarithmic Equations 
4) Analytical Geometry

  • Parabolas
  • Ellipses
  • Hyperbola