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Precalculus Study Guide: Functions, Graphs, and Polynomial Concepts

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Intro to Functions & Their Graphs

  • Finding the Domain and Range of a Graph
    5:10
  • Verifying if Equations are Functions
    5:38
  • Relations and Functions
    5:20

Transformations

  • Reflections of Functions Example 1
    01:09
  • Reflections of Functions
    5:00
  • Graphs of Shifted & Reflected Functions Example 1
    2:49

Function Operations

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

Function Composition

  • Decomposition of Functions
    4:07
  • Function Composition
    4:56
  • Domain Restrictions of Composed Functions
    3:51

Complex Numbers

  • Percorso guidato
    Introduction to Complex Numbers
    03:31
  • Percorso guidato
    Dividing Complex Numbers
    04:22
  • Percorso guidato
    Complex Conjugates
    05:33

Intro to Quadratic Equations

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

Quadratic Functions

  • Percorso guidato
    Properties of Parabolas
    07:42
  • Percorso guidato
    Vertex Form
    08:07
  • Percorso guidato
    Example 1
    07:11

Understanding Polynomial Functions

  • Percorso guidato
    Introduction to Polynomial Functions
    06:04
  • Percorso guidato
    Finding Zeros & Their Multiplicity
    03:42
  • Percorso guidato
    End Behavior of Polynomial Functions
    06:08

Graphing Polynomial Functions

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