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College Algebra Practice Test 3: Rational Functions, Exponentials, Logarithms, and Systems of Equations

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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

Transformations

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

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

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

Introduction to Matrices

  • Performing Row Operations on Matrices
    8:38
  • Example 1
    13:06
  • Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)
    5:58

Determinants and Cramer's Rule

  • Determinants of 3×3 Matrices
    7:25
  • Cramer's Rule - 2 Equations with 2 Unknowns
    6:54
  • Determinants of 2×2 Matrices
    4:36