Functions

Also see: Polynomials

Mathematics

Algebra/Precalculus: Topics in Functions

Intermediate algebra functions outline:

• Introduction to functions
• Function notation
• Algebra and function composition
• Slope and rate of change
• Linear functions
• (Later chapters cover other kinds of functions)

Precalculus outline:

• sets and maps
• function definitions
• function notation
• domain and range
• rate of change
• composition
• transformation
• absolute value
• inverse functions

Connally Precalculus:

• Chapter 1: Functions and Change
  • Functions and function notation
  • Rate of change
  • Linear functions
  • Formulas for linear functions
• Geometric properties of linear functions
  • Fitting linear functions to data
• Chapter 2: Functions
  • Input and output
  • Domain and range
  • Piecewise defined functions
  • Composite and inverse functions
  • Concavity
• Quadratic, exponential, log, transformations, trig, trig identities, compositions, inverses, combinations, polynomials, rationals, vectors and matrices, sequences and series