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Intermediate Algebra:
Functions and Graphs
Katherine Yoshiwara
Contents
Index
Calc
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Contents
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Front Matter
Colophon
Preface
1
Linear Models
Linear Models
Graphs and Equations
Intercepts
Slope
Equations of Lines
Chapter Summary and Review
2
Applications of Linear Models
Linear Regression
Linear Systems
Algebraic Solution of Systems
Gaussian Reduction
Linear Inequalities in Two Variables
Chapter Summary and Review
3
Quadratic Models
Extraction of Roots
Intercepts, Solutions, and Factors
Graphing Parabolas
Completing the Square
Chapter 3 Summary and Review
4
Applications of Quadratic Models
Quadratic Formula
The Vertex
Curve Fitting
Quadratic Inequalities
Chapter 4 Summary and Review
5
Functions and Their Graphs
Functions
Graphs of Functions
Some Basic Graphs
Direct Variation
Inverse Variation
Functions as Models
Chapter 5 Summary and Review
6
Powers and Roots
Integer Exponents
Roots and Radicals
Rational Exponents
Working with Radicals
Radical Equations
Chapter 6 Summary and Review
7
Exponential Functions
Exponential Growth and Decay
Exponential Functions
Logarithms
Properties of Logarithms
Exponential Models
Chapter 7 Summary and Review
8
Polynomial and Rational Functions
Polynomial Functions
Algebraic Fractions
Operations on Algebraic Fractions
More Operations on Fractions
Equations with Fractions
Chapter 8 Summary and Review
9
Equations and Graphs
Properties of Lines
The Distance and Midpoint Formulas
Conic Sections: Ellipses
Conic Sections: Hyperbolas
Nonlinear Systems
Chapter 9 Summary and Review
10
Logarithmic Functions
Logarithmic Functions
Logarithmic Scales
The Natural Base
Chapter 10 Summary and Review
Appendices
A
Using a GeoGebra Calculator App
Getting Started
Entering Expressions
Graphing an Equation
More graphing
Regression
Troubleshooting the GeoGebra App
B
Answers to Selected Exercises
Index
Colophon
Authored in PreTeXt
Colophon
Colophon
This book was authored in PreTeXt.