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Functions and Their Transformations: Foundations of College Algebra

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Graphs and Coordinates

  • Guided course
    Graphs and Coordinates - Example
    02:16
  • Guided course
    Graphs & the Rectangular Coordinate System
    05:10

Lines

  • Guided course
    Point-Slope Form
    05:46
  • Guided course
    Graphing Lines in Slope-Intercept Form
    02:35
  • Guided course
    Types of Slope
    05:17

Intro to Functions & Their Graphs

  • Guided course
    Finding the Domain of an Equation
    3:43
  • Guided course
    Relations & Functions Example 1
    1:30
  • Guided course
    Relations and Functions
    5:20

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Transformations

  • Guided course
    Stretches & Shrinks of Functions
    6:02
  • Guided course
    Shifts of Functions
    5:34
  • Guided course
    Domain & Range of Transformed Functions
    4:22

Function Composition

  • Guided course
    Evaluating Composed Functions
    4:26
  • Guided course
    Decomposition of Functions Example 1
    1:46
  • Guided course
    Domain Restrictions of Composed Functions
    3:51

Quadratic Functions

  • Guided course
    Converting Standard Form to Vertex Form
    04:34
  • Guided course
    Vertex Form
    08:07
  • Guided course
    Example 2
    7:49

Understanding Polynomial Functions

  • Guided course
    Introduction to Polynomial Functions
    06:04
  • Guided course
    Maximum Turning Points of a Polynomial Function
    02:44
  • Guided course
    Finding Zeros & Their Multiplicity
    03:42

Graphing Polynomial Functions

  • Guided course
    Example 1
    09:43
  • Guided course
    Identifying Intervals of Unknown Behavior
    05:01
  • Guided course
    Graphing Polynomial Functions
    05:25

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Asymptotes

  • Guided course
    Introduction to Asymptotes
    6:24
  • Guided course
    Determining Horizontal Asymptotes
    4:48
  • Guided course
    Determining Removable Discontinuities (Holes)
    3:34

Graphing Rational Functions

  • Guided course
    Graphing Rational Functions Using Transformations
    5:31
  • Guided course
    Example 1
    3:08
  • Guided course
    Example 1
    10:18

Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equtions
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

Two Variable Systems of Linear Equations

  • Guided course
    Example 1
    3:09
  • Guided course
    Solving Systems of Equations - Elimination
    6:48
  • Guided course
    Example 2
    3:31

Introduction to Conic Sections

  • Guided course
    Geometries from Conic Sections
    3:08

Circles

  • Guided course
    Circles in Standard Form
    5:18
  • Guided course
    Circles in General Form
    6:20
  • Guided course
    Circles in Standard Form Example 1
    3:40

Ellipses: Standard Form

  • Guided course
    Graph Ellipses NOT at Origin
    4:50
  • Guided course
    Foci and Vertices of an Ellipse
    5:30
  • Guided course
    Graph Ellipses at Origin
    5:12

Parabolas

  • Guided course
    Parabolas as Conic Sections Example 1
    7:12
  • Guided course
    Horizontal Parabolas
    5:28
  • Guided course
    Horizontal Parabolas Example 1
    7:18

Hyperbolas at the Origin

  • Guided course
    Asymptotes of Hyperbolas
    5:50
  • Guided course
    Graphing Hyperbolas at the Origin Example 1
    3:58
  • Guided course
    Introduction to Hyperbolas
    6:15

Hyperbolas NOT at the Origin

  • Guided course
    Graph Hyperbolas NOT at the Origin
    5:59