Relations and Functions

Evaluation of Functions

The Horizontal Line Test

Finding the Domain of a Function

Finding the Domain and Range of a Function from its Graph

Piecewise Functions

Average Rate of Change of a Function

Increasing and Decreasing Functions

Relative Maxima or Minima

Arithmetic Operations with Functions

Composition of Functions

Transformations of Functions

Absolute Value Functions

Inverse Functions

Linear Functions

Graph of Linear Functions

Modeling with Linear Functions

Operations with Complex Numbers

Vertex and Axis of Symmetry of a Parabola

Minimum and Maximum

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

The Remaining and Factor Theorem

The Rational Zero Theorem

Rational Zeros

Rational Functions (Asymptotes)

Graphing Rational Functions

Slant Asymptotes

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Exponential and Logarithmic Equations

Angles

Right Triangle Trigonometry

Trigonometric Functions of any angle

The Unit Circle

Graph of Sine and Cosine

Graph of Tangent

Inverse Trigonometric Functions

Verifying Trigonometric Identities

Sum and Difference Identities

Double-Angle and Half-Angle formulas

Product to Sum and Sum to Product

Solving Trigonometric Equations