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Comprehensive Precalculus Final Exam Study Guide

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Lines

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

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

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

Function Composition

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

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

Intro to Quadratic Equations

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

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

Linear Inequalities

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

Graphs and Coordinates

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

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

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

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

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

Angles in Standard Position

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

Coterminal Angles

  • Percorso guidato
    Example 1
    3:51
  • Percorso guidato
    Coterminal Angles
    04:46

Radians

  • Percorso guidato
    Converting between Degrees & Radians
    5:04

Defining the Unit Circle

  • Percorso guidato
    Introduction to the Unit Circle
    06:11

Trigonometric Functions on the Unit Circle

  • Percorso guidato
    Sine, Cosine, & Tangent on the Unit Circle
    6:34

Common Values of Sine, Cosine, & Tangent

  • Percorso guidato
    Example 1
    6:04
  • Percorso guidato
    Sine, Cosine, & Tangent of 30°, 45°, & 60°
    5:08

Reference Angles

  • Percorso guidato
    Reference Angles on the Unit Circle
    5:31
  • Percorso guidato
    Coterminal Angles on the Unit Circle
    3:47
  • Percorso guidato
    Example 1
    3:03

Reciprocal Trigonometric Functions on the Unit Circle

  • Percorso guidato
    Secant, Cosecant, & Cotangent on the Unit Circle
    3:23

Graphs of the Sine and Cosine Functions

  • Percorso guidato
    Amplitude and Reflection of Sine and Cosine
    5:05
  • Percorso guidato
    Example 1
    2:18
  • Percorso guidato
    Graph of Sine and Cosine Function
    5:53

Phase Shifts

  • Percorso guidato
    Phase Shifts
    6:31
  • Percorso guidato
    Example 1
    3:42

Inverse Sine, Cosine, & Tangent

  • Percorso guidato
    Inverse Tangent
    3:17
  • Percorso guidato
    Example 1
    1:08
  • Percorso guidato
    Example 3
    1:25

Linear Trigonometric Equations

  • Percorso guidato
    Example 3
    3:29
  • Percorso guidato
    Example 2
    2:17
  • Percorso guidato
    Introduction to Trig Equations
    4:25

Introduction to Trigonometric Identities

  • Percorso guidato
    Simplifying Trig Expressions
    6:36
  • Percorso guidato
    Example 1
    2:20
  • Percorso guidato
    Example 4
    5:18

Sum and Difference Identities

  • Percorso guidato
    Sum and Difference of Tangent
    4:47
  • Percorso guidato
    Sum and Difference of Sine & Cosine Example 3
    2:42
  • Percorso guidato
    Sum and Difference of Sine & Cosine
    06:14

Double Angle Identities

  • Percorso guidato
    Double Angle Identities
    5:06
  • Percorso guidato
    Double Angle Identities Example 1
    2:33
  • Percorso guidato
    Double Angle Identities Example 2
    2:26

Solving Trigonometric Equations Using Identities

  • Percorso guidato
    Solve Trig Equations Using Identity Substitutions
    4:42

Trigonometric Functions on Right Triangles

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

Special Right Triangles

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

Cofunctions of Complementary Angles

  • Percorso guidato
    Using Cofunction Identities to Solve Equations
    4:42
  • Percorso guidato
    Cofunction Identities
    6:30

Solving Right Triangles

  • Percorso guidato
    Finding Missing Side Lengths
    4:18
  • Percorso guidato
    Example 2
    3:22
  • Percorso guidato
    Finding Missing Angles
    5:13

Law of Sines

  • Percorso guidato
    Solving SSA Triangles ("Ambiguous" Case) Example 1
    4:02
  • Percorso guidato
    Solving SSA Triangles ("Ambiguous" Case)
    9:50
  • Percorso guidato
    Solving SAA & ASA Triangles
    7:23

Law of Cosines

  • Percorso guidato
    Solving SAS & SSS Triangles
    7:50
  • Percorso guidato
    Intro to Law of Cosines
    4:35

Area of SAS & ASA Triangles

  • Percorso guidato
    Calculating Area of SAS Triangles Example 1
    5:30
  • Percorso guidato
    Calculating Area of ASA Triangles
    4:30
  • Percorso guidato
    Calculating Area of SAS Triangles
    4:02