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College Algebra Final Exam Review – Graphs, Functions, and Applications

주석실무비디오 수업

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Graphs and Coordinates

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

Intro to Functions & Their Graphs

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

Function Composition

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

Lines

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

Linear Equations

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

Linear Inequalities

  • Interval Notation
    05:18
  • Linear Inequalities with Fractions & Variables on Both Sides
    03:42
  • Linear Inequalities
    06:07

Quadratic Functions

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

Intro to Quadratic Equations

  • Introduction to Quadratic Equations
    05:35
  • Solving Quadratic Equations by Factoring
    06:08

Completing the Square

  • Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

  • Solving Quadratic Equations Using The Quadratic Formula
    06:36
  • The Discriminant
    04:11

Choosing a Method to Solve Quadratics

  • Choosing a Method to Solve Quadratics
    04:03

Factoring Polynomials

  • Factor Using the AC Method When a Is 1
    4:16
  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30

Understanding Polynomial Functions

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

Graphing Polynomial Functions

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

Zeros of Polynomial Functions

    Dividing Polynomials

      Introduction to Rational Functions

      • Intro to Rational Functions
        6:04

      Asymptotes

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

      Graphing Rational Functions

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

      Two Variable Systems of Linear Equations

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