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Precalculus Final Exam Study Guide: Key Topics and Practice Problems

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Introduction to Rational Functions

  • Guided course
    Intro to Rational Functions
    6:04

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 Exponential Functions

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    Exponential Functions
    6:13

Introduction to Logarithms

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

Solving Exponential and Logarithmic Equations

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    Solving Exponential Equations Using Logs
    5:47
  • Guided course
    Solving Exponential Equations Using Like Bases
    4:46
  • Guided course
    Solving Logarithmic Equations
    5:02

Introduction to Trigonometric Identities

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    Simplifying Trig Expressions
    6:36
  • Guided course
    Example 1
    2:20
  • Guided course
    Example 4
    5:18

Polar Coordinate System

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    Determining Different Coordinates for the Same Point Example 2
    3:00
  • Guided course
    Intro to Polar Coordinates Example 1
    2:13
  • Guided course
    Intro to Polar Coordinates
    5:32

Convert Points Between Polar and Rectangular Coordinates

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    Convert Points from Rectangular to Polar Example 1
    2:21
  • Guided course
    Convert Points from Polar to Rectangular
    6:17
  • Guided course
    Convert Points from Rectangular to Polar
    6:58

Geometric Vectors

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    Multiplying Vectors By Scalars
    05:05
  • Guided course
    Multiplying Vectors By Scalars Example 1
    03:12
  • Guided course
    Adding Vectors Geometrically
    05:29

Vectors in Component Form

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    Finding Magnitude of a Vector Example 1
    02:26
  • Guided course
    Algebraic Operations on Vectors Example 1
    03:11
  • Guided course
    Position Vectors & Component Form Example 1
    01:36

Dot Product

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    Introduction to Dot Product
    5:40
  • Guided course
    Find the Angle Between Vectors
    04:33

Introduction to Conic Sections

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    Geometries from Conic Sections
    3:08

Two Variable Systems of Linear Equations

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    Example 2
    3:31
  • Guided course
    Solving Systems of Equations - Elimination
    6:48
  • Guided course
    Introduction to Systems of Linear Equations
    4:27

Introduction to Matrices

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    Example 1
    13:06
  • Guided course
    Example 2
    11:24
  • Guided course
    Introduction to Matrices
    4:35

Determinants and Cramer's Rule

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    Determinants of 2×2 Matrices
    4:36
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    Determinants of 3×3 Matrices
    7:25
  • Guided course
    Cramer's Rule - 2 Equations with 2 Unknowns
    6:54

Sequences

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    Example 1
    05:52
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    Example 2
    04:19
  • Guided course
    Introduction to Sequences

Geometric Sequences

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    Geometric Sequences - General Formula
    04:45
  • Guided course
    Geometric Sequences - Recursive Formula
    04:18