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Precalculus Study Guide: Analytic Geometry, Functions, and Polynomial Analysis

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Graphs and Coordinates

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

Circles

  • Percorso guidato
    Circles in Standard Form
    5:18
  • Percorso guidato
    Circles in General Form
    06:20
  • Percorso guidato
    Circles in Standard Form Example 1
    03:40

Lines

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

Intro to Functions & Their Graphs

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

Transformations

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

Quadratic Functions

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

Intro to Quadratic Equations

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

Linear Inequalities

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

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

Introduction to Rational Functions

  • Percorso guidato
    Intro to Rational Functions
    6:04

Asymptotes

  • Percorso guidato
    Determining Horizontal Asymptotes
    4:48
  • Percorso guidato
    Introduction to Asymptotes
    6:24
  • Percorso guidato
    Determining Vertical Asymptotes
    3:12

Graphing Rational Functions

  • Percorso guidato
    Example 1
    10:18
  • Percorso guidato
    How to Graph Rational Functions
    8:19
  • Percorso guidato
    Example 1
    3:08

Introduction to Exponential Functions

  • Percorso guidato
    Exponential Functions
    6:13

Graphing Exponential Functions

  • Percorso guidato
    Transformations of Exponential Graphs Example 1
    4:12
  • Percorso guidato
    Graphing Exponential Functions Example 1
    3:58
  • Percorso guidato
    Graphs of Exponential Functions
    5:46

The Number e

  • Percorso guidato
    The Number e
    4:47

Introduction to Logarithms

  • Percorso guidato
    Logarithms Introduction
    7:30
  • Percorso guidato
    The Natural Log
    2:51
  • Percorso guidato
    Evaluate Logarithms
    05:15

Graphing Logarithmic Functions

  • Percorso guidato
    Transformations of Logarithmic Graphs
    4:37
  • Percorso guidato
    Graphing Logarithmic Functions
    4:30
  • Percorso guidato
    Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

  • Percorso guidato
    Product, Quotient, and Power Rules of Logs
    3:49
  • Percorso guidato
    Expand & Condense Log Expressions
    4:22
  • Percorso guidato
    Change of Base Property
    5:36

Solving Exponential and Logarithmic Equations

  • Percorso guidato
    Solving Exponential Equations Using Logs
    5:47
  • Percorso guidato
    Solving Exponential Equations Using Like Bases
    4:46
  • Percorso guidato
    Solving Logarithmic Equations
    5:02