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Click any concept below to view a complete lesson. These lessons support the questions (each having their own video solution) in our vast database. After viewing a lesson, we recommend that you create a personalized question-set in order to practice and evaluate your learning.

Precalculus

• Topic A: Prerequisites: Equations, Inequalities; Coordinate Geometry
  • Concept 1: Quadratic Equations; Completing the Square
  • Concept 2: Radical Equations
  • Concept 3: Solving Fractional Equations
  • Concept 4: Solving Absolute Value Equations
  • Concept 5: Solving Inequalites; Rational Inequalities
• Topic B: The Conic Sections
  • Concept 1: The Circle
  • Concept 2: The Parabola
  • Concept 3: The Ellipse
  • Concept 4: The Hyperbola
  • Concept 5: Classifying the Conics
• Topic C: Functions and their Graphs
  • Concept 1: Evaluating Functions;
  • Concept 2: Inc./Dec. Functions; Odd/Even; Relative Max, Min
  • Concept 3: Domain and Range
  • Concept 4: Shifting, Reflecting, and Stretching Graphs
  • Concept 5: Combinations of Functions
  • Concept 6: Composition of Functions
  • Concept 7: Inverse Functions
• Topic D: Polynomial and Rational Functions; Finding Zeros
  • Concept 3: Synthetic and Long Division
  • Concept 1: Solving Higher Degree Equations Algebraically
  • Concept 2: Solving Higher Degree Equations Graphically
  • Concept 4: Finding Real Zeros; Rational Zero Test
  • Concept 5: Review of Imaginary and Complex Numbers
  • Concept 6: Finding all Zeros; Finding Equation from Zeros
  • Concept 7: Asymptotes, Holes and Graphing Rational Functions
• Topic E: Exponential and Logarithmic Functions
  • Concept 2: The Natural Base "e"
  • Concept 3: The Logarithmic Function and its Graph
  • Concept 4: Rules of Logarithms: Product, Quotient, Power
  • Concept 5: The Natural Logarithm: lnx
  • Concept 6: Solving Exponential Equations Using Logarithms
  • Concept 7: Solving Logarithmic Equations
  • Concept 8: Applications with Exponential & Logarithmic Functions
• Topic F: Polar Coordinates
  • Concept 1: Plotting Points in Polar Coordinates
  • Concept 2: Converting Coordinates
  • Concept 3: Converting Equations to Polar and/or Rectangular Form
  • Concept 4: Graphs in Polar Coordinates

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