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"Now, what DID Mr. Runyan say . . ?" |
Select Chapter 1 - 9
Chapter 1 Functions
Section 1.1 Functions and Their Properties
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Section 1.2 Functional Notation and Mathematical Language
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Section 1.3 Translations and Reflections of Graphs of Functions
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Section 1.4 Changes of Scale of Graphs of Functions
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Section 1.5 Operations, Compositions, and Inverse Functions
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Chapter 2 Linear and Quadratic Functions
Section 2.1 Linear Functions
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Section 2.2 Linear Regression
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Section 2.3 Graphs of Quadratic Functions and Optimization
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Section 2.4 Finding Equations of Quadratic Functions
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Chapter 3 Polynomial and Rational Functions
Section 3.1 Graphs of Polynomial Functions
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Section 3.2 Finite Differences
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Section 3.3 Interpolating and Best-Fitting Polynomial Functions
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Section 3.4 Graphs of Rational Functions
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Section 3.5 More Rational Functions: Limit Notation, Holes, and Oblique Asymptotes
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Chapter 4 Exponential and Logarithmic Functions
Section 4.1 Exponential Functions
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Section 4.2 Logarithmic Functions
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Section 4.3 Theorems on Logarithms
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Section 4.4 More on Exponential and Logarithmic Functions
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Section 4.5 More Applications Including Logistic Equations
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Section 4.6 Logarithmic Scales and Curve Fitting
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Chapter 5 Trigonometry and The Circular Functions
Section 5.1 Right Triangle Trigonometry
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Section 5.2 The Circular Functions
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Section 5.3 Graphs of the Circular Functions
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Section 5.4 Reciprocals, Sums, and Products of the Circular Functions
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Section 5.5 Inverses of the Circular Functions
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Chapter 6 Trigonometric Equations and Applications
Section 6.1 Trigonometric Identities
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Section 6.2 More Trigonometric Identities
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Section 6.3 Equations Involving the Circular Functions
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Section 6.4 Applications of the Circular Functions to Triangles
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Section 6.5 More Applications: Simple Harmonic Motion and Vectors
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Chapter 7 Polar Coordinates and Parametric Equations
Section 7.1 Introduction to Polar Coordinates
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Section 7.2 Polar Form of Complex Numbers and DeMoivre's Theorem
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Section 7.3 Parametrc Equations
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Chapter 8 Conic Sections and Quadric Surfaces
Section 8.1 The Distance Formula and the Circle
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Section 8.2 The Ellipse and the Hyperbola
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Section 8.3 The Parabola and a Review of Conic Sections
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Section 8.4 Rotations and Conic Sections
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Section 8.5 Graphs in a Three-Dimensional Coordinate System
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Section 8.6 Quadric Surfaces
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Chapter 9 Matrices, Determinants, and Vectors
Section 9.1 Introduction to Matrices
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Section 9.2 Introduction to Determinants
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Section 9.3 Vectors in Two and Three Dimensions
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Section 9.4 Equations of Lines and Planes in Three Dimensions
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Select Chapter 1 - 5
Chapter 1 Functions
Section 1.1 Functions and Their Properties
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Section 1.4 Changes of Scale of Graphs of Functions
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Section 1.5 Operations, Compositions, and Inverse Functions
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Chapter 2 Linear and Quadratic Functions
Section 2.1 Linear Functions
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Section 2.2 Linear Regression
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Section 2.3 Graphs of Quadratic Functions and Optimization
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Section 2.4 Finding Equations of Quadratic Functions
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Chapter 3 Polynomial and Rational Functions
Section 3.1 Graphs of Polynomial Functions
- Exploring Graphs of Polynomial Functions
Chapter 4 Exponential and Logarithmic Functions
Section 4.1 Exponential Functions
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Section 4.2 Logarithmic Functions
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Section 4.3 Theorems on Logarithms
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Chapter 5 Trigonometry and The Circular Functions
Section 5.1 Right Triangle Trigonometry
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Section 5.2 The Circular Functions
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Section 5.3 Graphs of the Circular Functions
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Form A Form A contains problems that are analogous to selected examples from Precalculus: Making Connections.
The answer to each problem and the reference to the appropriate example are given. This form is designed as a personal diagnostic
tool. Studying the corresponding example for any problems you miss will help you master the material for that chapter.
Form B Form B contains problems that cover the material in each chapter, but the directions, context and applications
may differ from those found elswhere on the web site or in the text.
Form C Form C contains forms that can be completed on-line and submitted to your instructor if your course is designed
to use them. Answers are not provided.
Select Chapter 1 - 9
Chapter 1 Functions
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Chapter 2 Linear and Quadratic Functions
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Chapter 3 Polynomial and Rational Functions
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Chapter 4 Exponential and Logarithmic Functions
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Chapter 5 Trigonometry and the Circular Functions
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Chapter 6 Trigonometric Equations and Applications
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Chapter 7 Polar Coordinates and Parametric Equations
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Chapter 8 Conic Sections and Quadric Surfaces
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Chapter 9 Matrices, Determinants, and Vectors
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All of these exams, as with all of the material at this Precalculus web site, are copyrighted. The material is presented
here for your personal use.
|
Tom Duran & Craig Lykins |
Select Chapter 1 - 9
The links below present opportunities to explore the concepts from Precalculus using information that is available from
World Wide Web sites, with data that is up to date. Here you will see Precalculus in Action!
Chapter 1 Functions
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Chapter 2 Linear and Quadratic Functions
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Chapter 3 Polynomial and Rational Functions
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Chapter 4 Exponential and Logarithmic Functions
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Chapter 5 Trigonometry and the Circular Functions
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Chapter 6 Trigonometric Equations and Applications
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Chapter 7 Polar Coordinates and Parametric Equations
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Chapter 8 Conic Sections and Quadratic Surfaces
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Chapter 9 Matrices, Determinants, and Vectors
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Date |
Homework |
Section |
Topics |
1 |
1/10 |
|
P.5 |
Syllabus, Policy
Statement, the Cartesian Plane |
2
|
1/12 |
p. 82 # 1-69
eoo p. 94 # 11-43 eoo |
1.1
1.2 (read) |
Graphs of Equations;
graphs of equations
(Lines in the plane) |
3 |
1/14 |
p.
107 # 1-67 eoo |
1.3 |
Functions;
functions; piecewisefunctions; |
4 |
1/19 |
p.
121 # 1-71 eoo |
1.4 |
Graphs of Functions;
increasing&decreasing; even&odd; |
5 |
1/21 |
|
1.4
(cont'd) |
|
6 |
1/24 |
p. 131 #1-69 eoo |
1.5 |
Shifting, Reflecting
and Stretching Graphs; shifting graphs; |
7 |
1/26 |
p. 141 #1-79 eoo |
1.6 |
Combinations of
Functions; operations on functions |
8 |
1/28 |
p. 152 #1-83 eoo |
1.7 |
Inverse Functions;
inverse functions |
9 |
2/1 |
p. 160 Chapter Test |
Review Practice Test |
P.5 and Chapter
1 AnswerKey |
10 |
2/2 |
|
TEST 1 |
|
11 |
2/4 |
p.
32 #1-149e-o-o 157,159 |
P.3 |
Polynomials and
Factoring FactoringPolynomials |
12 |
2/7 |
p. 168 #1-43e-o-o |
2.1(read) |
Linear Equations
and Problem Solving EquationsOfLines |
13 |
2/9 |
p.
179 #1-49e-o-o 53,67,69,73,75 |
2.2 |
Solving Equations
Graphically |
14 |
2/11 |
p. 189 #1-71e-o-o 79,80 |
2.3 |
Complex Numbers ComplexNumbers |
15 |
2/14 |
p. 205 #1-107e-o-o |
2.4 |
Solving Equations
Algebraically QuadraticFormEquations; RadicalEquations |
16 |
2/16 |
p. 219 #1-63 e-o-o |
2.5 |
Solving Inequalities
Algebraically and Graphically InequalitiesPolynomial&Rational |
17 |
skip |
p. 227 #1-11 odd |
2.6 |
Linear Models data analysis |
18 |
2/18 |
p. 32 #37-67e-o-o 119-149e-o-o p. 236 #1-23 |
Review |
P.3 and Chapter
2 P3 review; chp2 review |
19 |
2/23 |
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TEST 2 |
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20 |
2/25 |
p. 247 #1-65 e-o-o |
3.1 |
Quadratic Functions quadratic functions |
21 |
2/28 |
p. 260 #1-83 e-o-o |
3.2 |
Polynomials of
Higher Degree polynomial functions |
22 |
3/2 |
p. 275 # 1-23, 31-55 e-o-o |
3.3 |
Real Zeros of Polynomial
Functions real zeros of functions |
23 |
3/4 |
p. 284 #1-57 e-o-o |
3.4 |
The Fundamental
Theorem of Algebra complex zeros |
24 |
3/7 |
p. 44 #1-69 e-o-o |
P.4 |
Rational Expressions |
25 |
3/9 |
p. 292 #1-35, 39 odd |
3.5 |
Rational Functions
and Asymptotes rational functions |
26 |
3/11 |
p. 301 #1-63, 69 e-o-o |
3.6 |
Graphs of Rational
Functions rational functions graphs |
27 |
3/18 |
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3.7 |
Quadratic Models |
28 |
3/14 |
p. 313 #1-27, 33-59, 65-115 e-o-o |
Review |
P.4 and Chapter
3 |
29 |
3/16 |
p. 318 #1-16 |
TEST 3 |
|
30 |
3/28 |
p. 329 #1-69eoo |
4.1 |
Exponential Functions
and Their Graphs
exponential functions |
31 |
3/30 |
p. 339 #1-33odd |
4.2 |
Logarithmic Functions
and Their Graphs
logarithmic functions |
32 |
4/1 |
p. 378 #1,9,11,15,19 |
4.6 |
Models
(linear, quadratic, logarithmic, and exponential) http://www.prenhall.com/divisions/esm/app/calc_v2/ |
33 |
4/4 |
p.339 #35-75eoo |
4.2 (cont'd) |
Logarithmic Functions
and their Graphs, cont'd |
34 |
4/6 |
p. 347 #1-79eoo |
4.3 |
Properties of Logarithms |
35 |
4/8 |
p.357 #1-93eoo 97,103, 111 |
4.4 |
Solving Exponential
and Logarithmic Equations |
36 |
4/11 |
p.368 #1-6, 15, 23, 29, 35, 39, 41,43 |
4.5 |
Exponential and
Logarithmic Models |
37 |
4/13 |
p. 388 #1-22 |
Review |
Chapter 4 |
38 |
4/15 |
|
TEST
4 |
|
39 |
4/18 |
p.599 #1,5,9,63-77odd p.
610 #45-51, 61-67odd |
8.1, 8.2 |
Solving Systems
of Equations |
40 |
4/20 |
p.639 #1-13,23-27,31-37,73,75,79 p.654
#1-41odd |
8.4, 8.5 |
Matrices and Systems
of Equations Operations with Matrices |
41 |
4/22 |
p.665 #1-61odd |
8.6, 8.7 |
The Inverse of
a Square Matrix The Determinants of a Square Matrix |
42 |
4/25 |
p.684 #1-33 |
8.8 |
Solving Systems
of Equations with Matrices Applications of Matrices and Determinants |
43 |
4/27 |
p.694 #1-17odd |
Review |
Chapter 8 |
44 |
4/30 |
|
TEST 5 |
|
45 |
5/2 |
p.389 #1-43 |
Review |
Review for final
exam |
|
5/4 5/9 |
section102 section103 |
FINAL EXAM |
COMPREHENSIVE FINAL
EXAM |
Precalculus Pretest
1. Solve the linear equation
12 - 2(x - 14) = 6(x + 5)
2. Solve the pair of linear equations
4x + 3y = 4
5x - 7y = -38
3. Solve the quadratic equation
(3x - 12)2 = 144
4. Solve the quadratic equation
3x2 - 4x -1 = 0
5. Solve the equation involving radicals
6. Solve the equation involving rational expressions
7. Find three linear inequalities that describe the shaded region below.
8. Match each line with its equation. (Not all equations are used.)
9. Match each parabola with its equation. (Not all equations are used.)
10. You have $5000 in the bank and are saving $425/mo. Your friend has $8400 and is spending $275/mo. As soon as you have
the same amount of cash, you are heading for Greece. How long before you leave?
Answers
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