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College Algebra Final Exam Review: Comprehensive Study Notes

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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 Operations

  • Adding & Subtracting Functions
    5:56
  • Adding & Subtracting Functions Example 1
    4:46
  • Multiplying & Dividing Functions
    7:24

Function Composition

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

Transformations

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

Graphs and Coordinates

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

Lines

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

Quadratic Functions

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

Parabolas

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

Circles

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

Solving Exponential and Logarithmic Equations

  • Solving Exponential Equations Using Logs
    5:47
  • Solving Exponential Equations Using Like Bases
    4:46
  • Solving Logarithmic Equations
    5:02

Introduction to Exponential Functions

  • Exponential Functions
    6:13

Graphing Exponential Functions

  • Transformations of Exponential Graphs Example 1
    4:12
  • Graphing Exponential Functions Example 1
    3:58
  • Transformations of Exponential Graphs
    6:16

Introduction to Logarithms

  • Evaluate Logarithms
    5:14
  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51

Graphing Systems of Inequalities

  • Linear Inequalities
    7:02
  • Nonlinear Inequalities
    3:21
  • Example 2
    4:37

Two Variable Systems of Linear Equations

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