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College Algebra Practice Test 2: Functions, Graphs, Transformations, and Polynomial Analysis

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Intro to Functions & Their Graphs

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

Transformations

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

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

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

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

    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