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College Algebra Final Exam Review: Comprehensive Study Notes

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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

Lines

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

Linear Inequalities

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

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

Intro to Quadratic Equations

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

The Square Root Property

  • Imaginary Roots with the Square Root Property
    02:20
  • Solving Quadratic Equations by the Square Root Property
    06:12

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

Quadratic Functions

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

Zeros of Polynomial Functions

    Introduction to Rational Functions

    • Intro to Rational Functions
      6:04

    Graphing Rational Functions

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

    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 Logarithmic Functions

    • Graphing Logarithmic Functions
      4:30
    • Transformations of Logarithmic Graphs
      4:37
    • Graphs of Logarithmic Functions
      5:26

    Properties of Logarithms

    • Change of Base Property
      5:36
    • Product, Quotient, and Power Rules of Logs
      3:49
    • Expand & Condense Log Expressions
      4:22

    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

    Two Variable Systems of Linear Equations

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

    Graphing Systems of Inequalities

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