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College Algebra: Comprehensive Study Notes and Practice Problems

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Linear Equations

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

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

Intro to Functions & Their Graphs

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

Quadratic Functions

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

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

    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

    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

    The Number e

    • The Number e
      4:47

    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