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Precalculus Final Exam Study Guide: Key Concepts and Formulas

Study Guide - Learn with Videos

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Intro to Functions & Their Graphs

Common Functions

Transformations

Function Operations

Function Composition

Intro to Quadratic Equations

Completing the Square

The Quadratic Formula

Choosing a Method to Solve Quadratics

Quadratic Functions

Understanding Polynomial Functions

Graphing Polynomial Functions

Introduction to Rational Functions

Asymptotes

Graphing Rational Functions

Introduction to Exponential Functions

Graphing Exponential Functions

Introduction to Logarithms

Graphing Logarithmic Functions

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Trigonometric Functions on the Unit Circle

Graphs of the Sine and Cosine Functions

Graphs of the Sine and Cosine Functions

Introduction to Trigonometric Identities

Sum and Difference Identities

Double Angle Identities

Solving Trigonometric Equations Using Identities

Polar Coordinate System

Convert Points Between Polar and Rectangular Coordinates

Convert Equations Between Polar and Rectangular Forms

Geometric Vectors

Dot Product

Cross Product

Introduction to Conic Sections

Parabolas

Ellipses: Standard Form

Hyperbolas at the Origin

Hyperbolas NOT at the Origin

Two Variable Systems of Linear Equations

Introduction to Matrices

Determinants and Cramer's Rule

Arithmetic Sequences

Geometric Sequences

Introduction to Limits

Finding Limits Algebraically

Law of Sines

Law of Cosines