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Precalculus Study Guide: Key Concepts and Practice Problems

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Study Guide - Learn with Videos

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Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

Asymptotes

  • Guided course
    Determining Horizontal Asymptotes
    4:48
  • Guided course
    Introduction to Asymptotes
    6:24
  • Guided course
    Determining Vertical Asymptotes
    3:12

Graphing Rational Functions

  • Guided course
    Example 1
    10:18
  • Guided course
    How to Graph Rational Functions
    8:19
  • Guided course
    Example 1
    3:08

Introduction to Logarithms

  • Guided course
    Logarithms Introduction
    7:30
  • Guided course
    The Natural Log
    2:51
  • Guided course
    Evaluate Logarithms
    05:15

Graphing Logarithmic Functions

  • Guided course
    Transformations of Logarithmic Graphs
    4:37
  • Guided course
    Graphing Logarithmic Functions
    4:30
  • Guided course
    Graphs of Logarithmic Functions
    5:26

Properties of Logarithms

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

Introduction to Exponential Functions

  • Guided course
    Exponential Functions
    6:13

Graphing Exponential Functions

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

The Number e

  • Guided course
    The Number e
    4:47

Function Composition

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

Quadratic Functions

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

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

Completing the Square

  • Guided course
    Solving Quadratic Equations by Completing the Square
    06:24

Circles

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

Lines

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

Linear Equations

  • Guided course
    Solving Linear Equations with Fractions
    04:02
  • Guided course
    Introduction to Solving Linear Equations
    07:48
  • Guided course
    Categorizing Linear Equations
    06:00

Factoring Polynomials

  • Factor by Grouping
    04:36
  • Introduction to Factoring Polynomials
    07:30
  • Factor Using Special Product Formulas
    6:29

Multiplying Polynomials

  • Multiply Polynomials Using the Distributive Property
    04:15
  • Special Products - Square Formulas
    04:14
  • Special Products - Cube Formulas
    03:41

Rational Exponents

  • Rational Exponents
    04:06