Precalculus Lessons

Click on a lesson below to view the examples that will be shown:

Functions

• Evaluating Functions, Finding the Domain and Difference Quotient
• Graphing Functions (Domain, Range, Even, Odd and Piecewise-Defined Functions)
• Sum, Difference, Product, Quotient and Composition of Functions
• Inverse Functions

Polynomial and Rational Functions

• Quadratic Functions
• Graphs of Polynomial Functions
• Long Division and Synthetic Division
• Real Zeros of Polynomial Functions (Remainder and Factor Theorems, Rational Root Test, Upper/Lower Bounds)
• Complex Numbers
• Complex Zeros of Polynomial Functions
• Graphs of Rational Functions

Exponential and Logarithmic Functions

• Graphs of Exponential Functions
• Graphs of Logarithmic Functions
• Properties of Logarithms - Part 1
• Properties of Logarithms - Part 2
• The Natural Logarithmic Function
• Solving Exponential and Logarithmic Equations
• Compound Interest and Radioactive Decay

Systems of Equations and Inequalities

• Partial Fraction Decomposition

Sequences, Series and Probability

• Sequences
• Arithmetic Series
• Geometric Series
• Mathematical Induction
• The Binomial Theorem
• The Fundamental Counting Principle, Permutations and Combinations
• Probability

Analytic Geometry

• Conic Sections - Circles
• Conic Sections - Parabolas
• Conic Sections - Ellipses
• Conic Sections - Hyperbolas and Classifying Conics

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