Functions

Functions

Lesson 1: Relations and Functions
Lesson 2: Real Life Examples of Functions
Lesson 3: Definition of Functions
Lesson 4: Representing Functions with Ordered Pairs, Tables, and Equations
Lesson 5: Representing Functions with Graphs

Domain and Range of Functions

Lesson 1: Sets and Interval Notation Part 1
Lesson 2: Sets and Interval Notation Part 2
Lesson 3: Meanings of Domain and Range Part 1
Lesson 4: Meanings of Domain and Range Part 2
Lesson 5: Meanings of Domain and Range Part 3
Lesson 6: Meanings of Domain and Range Part 4 (from Graphs)
Lesson 7: Domain and Range of Radical Functions Part 1
Lesson 8: Domain and Range of Radical Functions Part 2
Lesson 9: Domain and Range of Radical Functions Part 3
Lesson 10: Domain and Range of Radical Functions (Summary)
Lesson 11: Domain and Range of Rational Functions Part 1
Lesson 12: Domain and Range of Rational Functions Part 2
Lesson 13: Domain and Range of Rational Functions Part 3
Lesson 14: Domain and Range of Absolute Value Functions Part 1
Lesson 15: Domain and Range of Absolute Value Functions Part 2
Lesson 16: Determining the Domain and Range of Functions from Graphs Part 1
Lesson 17: Determining the Domain and Range of Functions from Graphs Part 2
Lesson 18: Determining the Domain and Range of Functions from Graphs Part 3
Lesson 19: Domain and Range – More Examples Part 1
Lesson 20: Domain and Range – More Examples Part 2
Lesson 21: Domain and Range – More Examples Part 3

Linear Functions

Lesson 1: Introduction to Linear Functions
Lesson 2: Slope and Rate of Change
Lesson 3: Graphs of Linear Functions
Lesson 4: The effect of b in y = ax + b
Lesson 5: The Concept of Slope
Lesson 6: The Slope and y-intercept of Linear Functions
Lesson 7: Slope and Increasing or Decreasing Graphs
Lesson 8: Graphing Linear Functions Using Slope and y-Intercept
Lesson 9: Getting Equations of Graphs of Linear Functions
Lesson 10: Equations of Lines Given the Slope and a Point
Lesson 11: Equations of Lines Given Slope and y-intercept
Lesson 12: Equations of Lines Given Two Points Part 1
Lesson 13: Equations of Lines Given Two Points Part 2
Lesson 14: Equations of Lines Given Two Points Part 3

Quadratic Functions

Lesson 1: Introduction to Quadratic Function
Lesson 2: Graphing Quadratic Functions
Lesson 3: Graphing the Quadratic Function y = x^2
Lesson 4: The effect of a in y = ax^2 where a is greater than 0
Lesson 5: The effect of a in y = ax^2 where a is less than 0
Lesson 6: Properties of the quadratic function y = ax^2.
Lesson 7: Identifying Quadratic Functions from Tables
Lesson 8: Understanding Roots of Quadratic Functions
Lesson 9: Solving Roots of Quadratic Functions (2 Distinct Real Roots)
Lesson 10: Solving Roots of Quadratic Functions (2 Distinct Real Roots)
Lesson 11: Solving Roots of Quadratic Functions (2 Equal Real Roots)
Lesson 12:Solving Roots of Quadratic Functions (No Real Root)
Lesson 13: Discriminant of Quadratic Functions
Lesson 14: Deriving the Vertex Form of Quadratic Functions
Lesson 15: Quadratic Functions General Form to Vertex Form Example 1
Lesson 16: Quadratic Functions General Form to Vertex Form Example 2
Lesson 17: Quadratic Functions General Form to Vertex Form Example 3
Lesson 18: Solving for the x and y intercepts of Quadratic Functions Part 1
Lesson 19: Solving for the x and y intercepts of Quadratic Functions Part 2
Lesson 20: Graph Sketching Quadratic Functions Using Vertex And Intercepts

Polynomial Functions

Lesson 1: Introduction to Polynomial Functions
Lesson 2: Definition of Polynomial Functions
Lesson 3: Understanding the Name and Notation of Functions
Lesson 4: Understanding Zeroes of Polynomial Functions
Lesson 5: Finding the Zeroes of Polynomial Functions
Lesson 6: Finding the Values of a Polynomial Function
Lesson 7: Dividing Functions: Their Quotient and Remainder
Lesson 8: The Remainder Theorem
Lesson 9: Division of Polynomials Using Synthetic Division Part 1
Lesson 10: Division of Polynomials Using Synthetic Division Part 2
Lesson 11: Understanding the Factor Theorem
Lesson 12: Factor Theorem, Remainder Theorem, and Synthetic Division Part 1
Lesson 13: Factor Theorem, Remainder Theorem, and Synthetic Division Part 2
Lesson 14: Roots of Polynomial Functions
Lesson 15: Finding the Zeroes of a Polynomial Function by Factoring
Lesson 16: The Integral Zero Theorem
Lesson 17: Application of Integral Zero Theorem Part 1
Lesson 18: Application of Integral Zero Theorem Part 2
Lesson 19: Graphs of Polynomial Functions

Exponential Functions

Lesson 1: Introduction to Exponential Function
Lesson 2: Definition of Exponential Function
Lesson 3: Graphing Exponential Functions
Lesson 4: Examining Graphs of Exponential Functions Part 1
Lesson 5: Examining Graphs of Exponential Functions Part 2
Lesson 6: Exponential Functions with Reciprocal Bases