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Algebra Toolkit
Katherine Yoshiwara
Contents
Calc
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Contents
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Front Matter
Colophon
Preface
1
Functions and Their Graphs
Warm-Up
Linear Models
Functions
Graphs of Functions
Slope
Linear Functions
Linear Regression
2
Modeling with Functions
Nonlinear Models
Some Basic Functions
Transformations of Graphs
Functions as Mathematical Models
The Absolute Value Function
Domain and Range
3
Power Functions
Variation
Integer Exponents
Section 3.3 Roots and Radicals
Rational Exponents
Joint Variation
4
Exponential Functions
Exponential Growth and Decay
Exponential Functions
Logarithms
Properties of Logarithms
Exponential Models
5
Logarithmic Functions
Section 5.1 Inverse Functions
Logarithmic Functions
The Natural Base
Log Scales
6
Quadratic Functions
Factors and \(x\)-Intercepts
Solving Quadratic Equations
Graphing Parabolas
Problem Solving
Quadratic Inequalities
Curve Fitting
7
Polynomial and Rational Functions
Section 7.1 Polynomial Functions
Graphing Polynomial Functions
Complex Numbers
Rational Functions
Equations that Include Algebraic Fractions
8
Linear Systems
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Solving Linear Systems Using Matrices
Section 8.4 Linear Inequalities
Linear Programming
9
Sequences and Series
Authored in PreTeXt
Algebra Toolkit
Katherine Yoshiwara
Department of Mathematics
Los Angeles Pierce College
August 10, 2020
Colophon
Preface