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Precalculus Study Guide: Derivatives, Extrema, and Applications

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Intro to Functions & Their Graphs

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

Common Functions

  • Guided course
    Graphs of Common Functions
    5:57

Function Operations

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

Function Composition

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

Quadratic Functions

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    Properties of Parabolas
    07:42
  • Guided course
    Vertex Form
    08:07
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    Example 1
    07:11

Understanding Polynomial Functions

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

Graphing Polynomial Functions

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

Intro to Quadratic Equations

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

The Square Root Property

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    Solving Quadratic Equations by the Square Root Property
    06:12
  • Guided course
    Imaginary Roots with the Square Root Property
    02:20

Completing the Square

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    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

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    The Discriminant
    04:11
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    Solving Quadratic Equations Using The Quadratic Formula
    06:36

Choosing a Method to Solve Quadratics

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    Choosing a Method to Solve Quadratics
    04:03

Limits at Infinity

  • Guided course
    Finding Limits at Infinity Algebraically
    06:25
  • Guided course
    Finding Limits at Infinity Numerically and Graphically
    04:55
  • Guided course
    Finding Limits at Infinity Algebraically Example 1
    02:43

Introduction to Limits

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    Finding Limits Numerically and Graphically Example 1
    02:34
  • Guided course
    Cases Where Limits Do Not Exist
    03:07
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    Finding Limits Numerically and Graphically
    06:47

Finding Limits Algebraically

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    Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Guided course
    Finding Limits by Direct Substitution
    05:21
  • Guided course
    Limits of Rational Functions: Denominator = 0
    06:11