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
To request a lesson, click here.