Understanding Functions (Domain, Range, Notation)

Inverse Functions & Finding Inverses

Piecewise Functions

Graphing Transformations (Shifting, Stretching, Reflecting)

Operations with Functions (Addition, Subtraction, Multiplication, Division, Composition)

Graphing Quadratic Functions (Parabolas)

Vertex Form vs. Standard Form

Completing the Square

Quadratic Formula & Discriminant

Solving Quadratic Equations by Factoring, Graphing, and Square Roots

Word Problems Involving Quadratic Functions

Imaginary & Complex Numbers (i, Adding/ Subtracting/ Multiplying/ Dividing Complex Numbers)

Polynomial Functions & Their Graphs

End Behavior of Polynomial Functions

Adding, Subtracting, Multiplying Polynomials

Factoring Polynomials Completely

Solving Polynomial Equations (Using the Remainder & Factor Theorems)

Long Division & Synthetic Division of Polynomials

Finding Zeros of Polynomials & Fundamental Theorem of Algebra

Graphing Higher-Degree Polynomials

Simplifying Rational Expressions

Multiplying & Dividing Rational Expressions

Adding & Subtracting Rational Expressions (Common Denominators)

Solving Rational Equations

Graphing Rational Functions (Asymptotes, Holes, Domain & Range)

Applications of Rational Functions

Simplifying & Operating with Radicals

Solving Radical Equations

Fractional Exponents & Exponential Expressions

Graphing Radical Functions

Domain & Range of Radical Functions

Applications of Radical Functions

Understanding Exponential Growth & Decay

Graphing Exponential Functions

Solving Exponential Equations

Introduction to Logarithms

Logarithmic Properties & Laws (Product, Quotient, Power)

Solving Logarithmic Equations

Graphing Logarithmic Functions

Natural Logarithm (ln) & Euler’s Number (e)

Applications of Exponential & Logarithmic Functions (Population Growth, Decay, Finance, Sound Intensity, Richter Scale)