Math · Level 3

3.2 Functions

Learn about functions and how to work with them. Then, take a deep dive into quadratics.

25 Lessons

What is a Function?

Function Tables

Function Graphs

Domain

Range

Interval Notation

Multiple Intervals

Vertical Shift

Horizontal Shift

Vertical Stretch and Shrink

Horizontal Stretch and Shrink

Vertical Reflections

Horizontal Reflections

Transforming Parabolas

Points on Parabolas

Optimizing Revenue

Solving Quadratics

Factored Form

Factoring a Quadratic

Difference of Squares

Perfect Squares

Completing the Square

General Solution

Solving with the Quadratic Formula

Counting Zeros

Course description

Understand functions as set mappings, tables, and graphs. Using these tools, learn how to work with functions and transform them and their graphs. Then, use the framework of functions to do a deep dive on quadratics. You'll explore factoring, completing the square, learn about polynomials, and eventually develop the quadratic equation.

Topics covered

  • Absolute Value
  • Asymptotes
  • Domain and Range
  • Exponents
  • Factoring Polynomials
  • Functions
  • Function Notation
  • Function Transformations
  • Piecewise Functions
  • Projectile Motion
  • Rational Functions
  • The Binomial Theorem
  • The Quadratic Formula

Prerequisites and next steps

You should be comfortable with the material from Solving Equations and Understanding Graphs.

Up next

Math · Level 4

4.1 Vectors

Use vectors — a way of describing a move in space — to program a game and design a logo.

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