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Math113 Precalculus: Structured Study Guide (Fall 2026)

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Lezioni curate abbinate al materiale che hai caricato – impara ogni argomento passo dopo passo.

Linear Equations

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

Exponents

  • Zero and Negative Rules
    6:37
  • Power Rules
    5:50
  • Simplifying Exponential Expressions
    6:39

Rational Exponents

  • Rational Exponents
    04:06

Simplifying Radical Expressions

  • Expanding Radicals
  • Radical Expressions with Fractions
    05:45
  • Adding & Subtracting Unlike Radicals by Simplifying
    5:48

Factoring Polynomials

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

Intro to Quadratic Equations

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

The Square Root Property

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

Completing the Square

  • Percorso guidato
    Solving Quadratic Equations by Completing the Square
    06:24

The Quadratic Formula

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

Choosing a Method to Solve Quadratics

  • Percorso guidato
    Choosing a Method to Solve Quadratics
    04:03

Rational Equations

  • Percorso guidato
    Restrictions on Rational Equations
    05:21
  • Percorso guidato
    Introduction to Rational Equations
    05:56

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

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

Transformations

  • Reflections of Functions Example 1
    01:09
  • Reflections of Functions
    5:00
  • 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

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

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

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

Special Right Triangles

  • 45-45-90 Triangles
    04:39
  • Common Trig Functions For 30-60-90 Triangles
    6:24
  • 30-60-90 Triangles
    5:35

Angles in Standard Position

  • Drawing Angles in Standard Position
    5:50
  • Example 1
    3:59

Radians

  • Converting between Degrees & Radians
    5:04

Trigonometric Functions on Right Triangles

  • Introduction to Inverse Trig Functions
    4:28
  • Fundamental Trigonometric Identities
    5:32
  • Introduction to Trigonometric Functions
    6:04