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MAT151 Final Exam Study Guide: College Algebra Essentials

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Intro to Functions & Their Graphs

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

Function Operations

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

Function Composition

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

Transformations

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

Linear Equations

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

Quadratic Functions

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

Graphs and Coordinates

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

Understanding Polynomial Functions

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

Graphing Polynomial Functions

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

Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Rational Equations

  • Guided course
    Introduction to Rational Equations
    05:56
  • Guided course
    Restrictions on Rational Equations
    05:21

Asymptotes

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

Graphing Rational Functions

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

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Graphing Exponential Functions

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

Introduction to Logarithms

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

Graphing Logarithmic Functions

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

Properties of Logarithms

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

Solving Exponential and Logarithmic Equations

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

Two Variable Systems of Linear Equations

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

Introduction to Matrices

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