MATH 1330 Precalculus - University of Houston

MATH 1330 Precalculus

Exercise Sets and Odd-Numbered Solutions

University of Houston Department of Mathematics

MATH 1330, Precalculus: Exercise Sets and Odd-Numbered Solutions ? 2011 University of Houston Department of Mathematics

MATH 1330 ? Precalculus Exercise Sets and Odd-Numbered Solutions

Table of Contents

University of Houston Department of Mathematics

CHAPTER 1 EXERCISES Exercise Set 1.1: An Introduction to Functions ........................................................................ 1 Exercise Set 1.2: Functions and Graphs ................................................................................... 5 Exercise Set 1.3: Transformations of Graphs ........................................................................... 9 Exercise Set 1.4: Operations on Functions ............................................................................. 13 Exercise Set 1.5: Inverse Functions ........................................................................................ 16

CHAPTER 2 EXERCISES Exercise Set 2.1: Linear and Quadratic Functions.................................................................. 19 Exercise Set 2.2: Polynomial Functions ................................................................................. 23 Exercise Set 2.3: Rational Functions ...................................................................................... 26 Exercise Set 2.4: Applications and Writing Functions ........................................................... 29

CHAPTER 3 EXERCISES

Exercise Set 3.1: Exponential Functions ................................................................................ 32 Exercise Set 3.2: Logarithmic Functions ................................................................................ 35 Exercise Set 3.3: Laws of Logarithms .................................................................................... 38 Exercise Set 3.4: Exponential and Logarithmic Equations and Inequalities .......................... 42 Exercise Set 3.5: Applications of Exponential Functions....................................................... 45

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TABLE OF CONTENTS

CHAPTER 4 EXERCISES Exercise Set 4.1: Special Right Triangles and Trigonometric Ratios..................................... 48 Exercise Set 4.2: Radians, Arc Length, and the Area of a Sector........................................... 53 Exercise Set 4.3: Unit Circle Trigonometry ........................................................................... 57 Exercise Set 4.4: Trigonometric Expressions and Identities .................................................. 62

CHAPTER 5 EXERCISES Exercise Set 5.1: Trigonometric Functions of Real Numbers ................................................ 65 Exercise Set 5.2: Graphs of the Sine and Cosine Functions ................................................... 67 Exercise Set 5.3: Graphs of the Other Trigonometric Functions Tangent, Cotangent, Secant, and Cosecant ......................................................... 73 Exercise Set 5.4: Inverse Trigonometric Functions................................................................ 80

CHAPTER 6 EXERCISES Exercise Set 6.1: Sum and Difference Formulas .................................................................... 89 Exercise Set 6.2: Double-Angle and Half-Angle Formulas.................................................... 94 Exercise Set 6.3: Solving Trigonometric Equations ............................................................... 99

CHAPTER 7 EXERCISES Exercise Set 7.1: Solving Right Triangles ............................................................................ 102 Exercise Set 7.2: Area of a Triangle ..................................................................................... 105 Exercise Set 7.3: The Law of Sines and the Law of Cosines ............................................... 108

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University of Houston Department of Mathematics

CHAPTER 8 EXERCISES Exercise Set 8.1: Parabolas ................................................................................................... 112 Exercise Set 8.2: Ellipses ...................................................................................................... 115 Exercise Set 8.3: Hyperbolas ................................................................................................ 119

APPENDICES EXERCISES Exercise Set A.1: Factoring Polynomials ............................................................................. 122 Exercise Set A.2: Dividing Polynomials .............................................................................. 124

ODD-NUMBERED ANSWERS TO EXERCISE SETS Chapter 1 Odd Answers ....................................................................................................... 126 Chapter 2 Odd Answers ....................................................................................................... 139 Chapter 3 Odd Answers ....................................................................................................... 152 Chapter 4 Odd Answers ....................................................................................................... 168 Chapter 5 Odd Answers ....................................................................................................... 187 Chapter 6 Odd Answers ....................................................................................................... 210 Chapter 7 Odd Answers ....................................................................................................... 221 Chapter 8 Odd Answers ....................................................................................................... 225 Appendix Odd Answers........................................................................................................ 238

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