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Chapter E Answers to Selected Exercises

Chapter 1 Functions and Their Graphs

Section 1.1 Linear Models

Subsection Homework 1.1

Section 1.2 Functions

Subsection Homework 1.2

Section 1.3 Graphs of Functions

Subsection Homework 1.3

Section 1.4 Slope and Rate of Change

Subsection Homework 1.4

Section 1.5 Linear Functions

Subsection Homework 1.5

Section 1.6 Linear Regression

Subsection Homework 1.6

Section 1.7 Chapter Summary and Review

Subsection Chapter 1 Review Problems

Chapter 2 Modeling with Functions

Section 2.1 Nonlinear Models

Subsection Homework 2.1

Section 2.2 Some Basic Functions

Subsection Homework 2.2

Section 2.3 Transformations of Graphs

Subsection Homework 2.3

Section 2.4 Functions as Mathematical Models

Subsection Homework 2.4

Section 2.5 The Absolute Value Function

Subsection Homework 2.5

Section 2.6 Domain and Range

Subsection Homework 2.6

Section 2.7 Chapter Summary and Review

Subsection Chapter 2 Review Problems

Chapter 3 Power Functions

Section 3.1 Variation

Subsection Homework 3.1

Section 3.2 Integer Exponents

Subsection Homework 3.2

Section 3.3 Roots and Radicals

Subsection Homework 3.3

Section 3.4 Rational Exponents

Subsection Homework 3.4

Section 3.5 Joint Variation

Subsection Homework 3.5

Section 3.6 Chapter Summary and Review

Subsection Chapter 3 Review Problems

Chapter 4 Exponential Functions

Section 4.1 Exponential Growth and Decay

Subsection Homework 4.1

Section 4.2 Exponential Functions

Subsection Homework 4.2

Section 4.3 Logarithms

Subsection Homework 4.3

Section 4.4 Properties of Logarithms

Subsection Homework 4.4

Section 4.5 Exponential Models

Subsection Homework 4.5

Section 4.6 Chapter Summary and Review

Subsection Chapter 4 Review Problems

Chapter 5 Logarithmic Functions

Section 5.1 Inverse Functions

Subsection Homework 5.1

Section 5.2 Logarithmic Functions

Subsection Homework 5.2

Section 5.3 The Natural Base

Subsection Homework 5.3

Section 5.4 Logarithmic Scales

Subsection Homework 5.4

Section 5.5 Chapter Summary and Review

Subsection Chapter 5 Review Problems

Chapter 6 Quadratic Functions

Section 6.1 Factors and \(x\)-Intercepts

Subsection Homework 6.1

Section 6.2 Solving Quadratic Equations

Subsection Homework 6.2

Section 6.3 Graphing Parabolas

Subsection Homework 6.3

Section 6.4 Problem Solving

Subsection Homework 6.4

Section 6.5 Quadratic Inequalities

Subsection Homework 6.5

Section 6.6 Curve Fitting

Subsection Homework 6.6

Section 6.7 Chapter Summary and Review

Subsection Chapter 6 Review Problems

Chapter 7 Polynomial and Rational Functions

Section 7.1 Polynomial Functions

Subsection Homework 7.1

Section 7.2 Graphing Polynomial Functions

Subsection Homework 7.2

Section 7.3 Complex Numbers

Subsection Homework 7.3

Section 7.4 Graphing Rational Functions

Subsection Homework 7.4

Section 7.5 Equations That Include Algebraic Fractions

Subsection Homework 7.5

Section 7.6 Chapter Summary and Review

Subsection Chapter 7 Review Problems

Chapter 8 Linear Systems

Section 8.1 Systems of Linear Equations in Two Variables

Subsection Homework 8.1

Section 8.2 Systems of Linear Equations in Three Variables

Subsection Homework 8.2

Section 8.3 Solving Linear Systems Using Matrices

Subsection Homework 8.3

Section 8.4 Linear Inequalities

Subsection Homework 8.4

Section 8.5 Linear Programming

Subsection Homework 8.5

Section 8.6 Chapter Summary and Review

Subsection Chapter 8 Review Problems

Section A.1 Numbers and Operations

Subsection Exercises A.1

Section A.2 Linear Equations and Inequalities

Subsection Exercises A.2

Section A.3 Algebraic Expressions and Problem Solving

Subsection Exercises A.3

Section A.4 Graphs and Equations

Subsection Exercises A.4

Section A.5 Linear Systems in Two Variables

Subsection Exercises A.5

Section A.6 Laws of Exponents

Subsection Exercises A.6

Section A.7 Polynomials and Factoring

Subsection Exercises A.7

Section A.8 Factoring Quadratic Trinomials

Subsection Exercises A.8

Section A.9 Working with Algebraic Fractions

Subsection Exercises A.9

Section A.10 Working with Radicals

Subsection Exercises A.10

Section A.11 Facts from Geometry

Subsection Exercises A.11

Section A.12 Properties of Lines

Subsection Exercises A.12

Section A.13 The Real Number System

Subsection Exercises A.13