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College Algebra: Core Concepts, Functions, and Graphs – Study Guide

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Intro to Quadratic Equations

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

Linear Inequalities

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

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

Lines

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

Circles

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

Transformations

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

Intro to Functions & Their Graphs

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

Polynomials Intro

  • Standard Form of Polynomials
    05:16
  • Introduction to Polynomials
    05:13
  • Adding and Subtracting Polynomials
    03:34

Multiplying Polynomials

  • Special Products - Cube Formulas
    03:41
  • Special Products - Square Formulas
    04:14
  • FOIL
    03:07

Factoring Polynomials

  • Factor Using the AC Method When a Is 1
    4:16
  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30

Zeros of Polynomial Functions

    Graphing Polynomial Functions

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

    Dividing Polynomials

      Introduction to Rational Functions

      • Intro to Rational Functions
        6:04

      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