## Precalculus: Functions and Graphs

• Author(s): Larson et. al.     Publisher: Houghton Mifflin 2001
This correlation lists the recommended Gizmos for this textbook. Click any Gizmo title below for more information.

### Chapter P: Prerequisites

#### P.1. Graphical Representation of Data

Line Plots

Constructing Box-and-Whisker Plots

Histograms

Stem-and-Leaf Plots

Scatter Plots - Activity A

#### P.2. Graphs of Equations

Points in the Coordinate Plane - Activity A

#### P.3. Lines in the Plane

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

Point-Slope Form of a Line - Activity A

#### P.4. Solving Equations Algebraically and Graphically

Slope-Intercept Form of a Line - Activity A

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Modeling the Factorization of ax2+bx+c

Modeling the Factorization of x2+bx+c

#### P.5. Solving Inequalities Algebraically and Graphically

Solving Inequalities Using Multiplication and Division

Solving Linear Inequalities using Addition and Subtraction

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

### Chapter 1: Functions and Their Graphs

#### 1.1. Functions

Linear Functions

Introduction to Functions

#### 1.2. Graphs of Functions

Fourth-Degree Polynomials - Activity A

Quadratics in Polynomial Form - Activity A

Functions Involving Square Roots

#### 1.3. Shifting, Reflecting, and Stretching Graphs

Rotations, Reflections and Translations

Translating and Scaling Functions

#### 1.5. Inverse Functions

Logarithmic Functions - Activity A

### Chapter 2: Polynomial and Rational Functions

Quadratics in Polynomial Form - Activity A

Quadratics in Vertex Form - Activity A

#### 2.2. Polynomial Functions of Higher Degree

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

#### 2.3. Real Zeros of Polynomial Functions

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

#### 2.5. Rational Functions and Asymptotes

Rational Functions

General Form of a Rational Function

#### 2.6. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

### Chapter 3: Exponential and Logarithmic Functions

#### 3.1. Exponential Functions and Their Graphs

Exponential Functions - Activity A

Exponential Growth and Decay - Activity A

#### 3.2. Logarithmic Functions and Their Graphs

Logarithmic Functions - Activity A

#### 3.5. Exponential and Logarithmic Models

Exponential Growth and Decay - Activity A

### Chapter 4: Trigonometric Functions

Unit Circle

#### 4.3. Right Triangle Trigonometry

Sine and Cosine Ratios - Activity A

Sine, Cosine and Tangent

Cosine Function

Sine Function

Tangent Function

Cosine Function

Sine Function

Tangent Function

### Chapter 5: Analytic Trigonometry

#### 5.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 5.4. Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

### Chapter 6: Additional Topics in Trigonometry

Vectors

#### 6.5. Trigonometric Form of a Complex Number

Absolute Value of a Complex Number

### Chapter 7: Systems of Equations and Inequalities

#### 7.1. Solving Systems of Equations

Modeling Linear Systems - Activity A

Solving Linear Systems by Graphing

Systems of Linear Equations - Activity A

#### 7.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

#### 7.4. Systems of Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

Systems of Linear Inequalities (Standard form)

#### 7.5. Linear Programming

Linear Programming - Activity A

### Chapter 8: Matrices and Determinants

#### 8.1. Matrices and Systems of Equations

Systems of Linear Equations - Activity A

Translations

#### 8.4. The Determinant of a Square Matrix

Systems of Linear Equations - Activity B

### Chapter 9: Sequences, Series, and Probability

#### 9.1. Sequences and Series

Arithmetic and Geometric Sequences

#### 9.2. Arithmetic Sequences and Partial Sums

Arithmetic Sequences

#### 9.3. Geometric Sequences and Series

Geometric Sequences

#### 9.6. Counting Principles

Permutations

Permutations and Combinations

#### 9.7. Probability

Probability Simulations

Geometric Probability - Activity A

Theoretical and Experimental Probability

### Chapter 10: Topics in Analytic Geometry

#### 10.1. Introduction to Conics: Parabolas

Parabolas - Activity B

Parabola with Horizontal Directrix

#### 10.2. Ellipses

Ellipse - Activity A

#### 10.3. Hyperbolas

Hyperbola - Activity A