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Precalculus Study Guide: Functions, Graphs, and Algebraic Techniques

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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

Common Functions

  • Graphs of Common Functions
    5:57

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

Graphs and Coordinates

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

Lines

  • Standard Form of Line Equations
    05:39
  • Types of Slope
    5:17
  • Point-Slope Form
    05:46