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Study Guides

Pre-Calculus 1

Course Contents

Solutions 28: Fitting Exponential Models to Data
Course Contents at a Glance

Module 5: Sequences, Probability, and Counting Theory

Module 1: Introduction to Functions

Sequences and Their Notations
Function and Function Notation
Solutions 34: Sequences and Their Notations
Solutions 1: Functions and Function Notation
Arithmetic Sequences
Domain and Range
Solutions 35: Arithmetic Sequences
Solutions 2: Domain and Range
Geometric Sequences
Rates of Change and Behavior of Graphs
Solutions 36: Geometric Sequences
Solutions 3: Rates of Change and Behavior of Graphs
Series and Their Notations
Composition of Functions
Solutions 37: Series and Their Notations
Solutions 4: Composition of Functions

Module 6: Systems of Linear Equations: Two Variables

Transformation of Functions
Introduction to Systems of Linear Equations: Two Variables
Solutions 5: Transformation of Functions
Solving Systems of Equations by Graphing
Absolute Value Functions
Solving Systems of Equations by Substitution
Solutions 6: Absolute Value Functions
Solving Systems of Equations in Two Variables by the Addition Method
Inverse Functions
Identifying and Expressing Solutions to Systems of Equations
Solutions 7: Inverse Functions
Using Systems of Equations to Investigate Profits

Module 2: Linear Functions

Key Concepts & Glossary
Linear Functions
Problem Set 29: Systems of Linear Equations: Two Variables
Solutions 8: Linear Functions
Solutions 29: Systems of Linear Equations: Two Variables
Graphs of Linear Functions

Module 7: Systems of Linear Equations: Three Variables

Solutions 9: Graphs of Linear Functions
Introduction to Systems of Linear Equations: Three Variables
Modeling with Linear Functions
Solving Systems of Three Equations in Three Variables
Solutions 10: Modeling with Linear Functions
Inconsistent and Dependent Systems in Three Variables
Fitting Linear Models to Data
Key Concepts & Glossary
Solutions 11: Fitting Linear Models to Data
Problem Set 30: Systems of Linear Equations: Three Variables

Module 3: Polynomial and Rational Functions

Solutions 30: Systems of Linear Equations: Three Variables
Complex Numbers

Module 8: Matrices and Matrix Operations

Solutions 12: Complex Numbers
Introduction: Matrices and Matrix Operations
Quadratic Functions
Finding the Sum and Difference of Two Matrices
Solutions 13: Quadratic Functions
Finding Scalar Multiples of a Matrix
Power Functions and Polynomial Functions
Finding the Product of Two Matrices
Solutions 14: Power Functions and Polynomial Functions
Key Concepts & Glossary
Graphs of Polynomial Functions
Problem Set 31: Matrices and Matrix Operations
Solutions 15: Graphs of Polynomial Functions
Solutions 31: Matrices and Matrix Operations
Dividing Polynomials

Module 9: Solving Systems with Gaussian Elimination

Solutions 16: Dividing Polynomials
Introduction to Solving Systems with Gaussian Elimination
Zeros of Polynomial Functions
The Augmented Matrix of a System of Equations
Solutions 17: Zeros of Polynomial Functions
Performing Row Operations on a Matrix
Rational Functions
Solving a System of Linear Equations Using Matrices
Solutions 18: Rational Functions
Key Concepts & Glossary
Inverses and Radical Functions
Problem Set 32: Solving Systems with Gaussian Elimination
Solutions 19: Inverses and Radical Functions
Solutions 32: Solving Systems with Gaussian Elimination
Modeling Using Variation

Module 10: Solving Systems with Inverses

Solutions 20: Modeling Using Variation
Introduction to Solving Systems with Inverses

Module 4: Exponential and Logarithmic Functions

Finding the Inverse of a Matrix
Exponential Functions
Solving a System of Linear Equations Using the Inverse of a Matrix
Solutions 21: Exponential Functions
Key Concepts & Glossary
Graphs of Exponential Functions
Problem Set 33: Solving Systems with Inverses
Solutions 22: Graphs of Exponential Functions
Solutions 33: Solving Systems with Inverses
Logarithmic Functions

Practice Tests

Solutions 23: Logarithmic Functions
Functions Practice Test
Graphs of Logarithmic Functions
Solutions: Functions Practice Test
Solutions 24: Graphs of Logarithmic Functions
Linear Functions Practice Test
Logarithmic Properties
Solutions: Linear Functions Practice Test
Solutions 25: Logarithmic Properties
Polynomial and Rational Functions Practice Test
Exponential and Logarithmic Equations
Solutions: Polynomial and Rational Functions Practice Test
Solutions 26: Exponential and Logarithmic Equations
Exponential and Logarithmic Functions Practice Test
Exponential and Logarithmic Models
Solutions: Exponential and Logarithmic Functions Practice Test
Solutions 27: Exponential and Logarithmic Models

Appendix

Fitting Exponential Models to Data
Appendix