# 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

## 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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