McGraw-Hill's 500 College Precalculus Questions: Ace Your College Exams

by Sandra McCune, William H. Clark

Overview

Sharpen your skills and prepare for your precalculus exam with a wealth of essential facts in a quick-and-easy Q&A format!

Get the question-and-answer practice you need with McGraw-Hill's 500 College Precalculus Questions. Organized for easy reference and intensive practice, the questions cover all essential precalculus topics and include detailed answer explanations.
The 500 practice questions are similar to course exam questions so you will know what to expect on test day. Each question includes a fully detailed answer that puts the subject in context. This additional practice helps you build your knowledge, strengthen test-taking skills, and build confidence. From ethical theory to epistemology, this book covers the key topics in precalculus.

Prepare for exam day with:

• 500 essential precalculus questions and answers organized by subject
• Detailed answers that provide important context for studying
• Content that follows the current college 101 course curriculum

Product Details

ISBN-13:	9780071789530
Publisher:	McGraw Hill LLC
Publication date:	12/19/2012
Pages:	176
Product dimensions:	4.00(w) x 11.00(h) x 1.00(d)

About the Author

Sandra McCune and William Clark formerly taught mathematics at Stephen F. Austin State University.

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Table of Contents

Introduction ix

Chapter 1 Basic Algebraic Skills 1

Working with Real Numbers 1

Questions 1-40

Complex Numbers 5

Questions 41-55

The Cartesian Coordinate System 6

Questions 56-65

Chapter 2 Precalculus Function Skills 9

Basic Function Concepts 9

Questions 66-78

Operations with Functions 10

Questions 79-120

Chapter 3 Graphs of Functions 13

Basic Graphing Concepts 13

Questions 121-130

Increasing and Decreasing Behavior and Extrema 14

Questions 131-137

Function Transformations 17

Questions 138-165

Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities 21

Linear Functions 21

Questions 166-174

Linear Equations and Inequalities 22

Questions 175-182

Quadratic Functions 23

Questions 183-196

Quadratic Equations and Inequalities 25

Questions 197-207

Average Rate of Change and Difference Quotients for Linear and Quadratic Functions 26

Questions 208-220

Linear and Quadratic Function Models and Applications 27

Questions 221-230

Chapter 5 Polynomial and Rational Functions 29

Polynomial Functions 29

Questions 231-236

Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra 30

Questions 237-245

Descartes' Rule of Signs and Rational Root Theorem 31

Questions 246-250

Rational Functions 32

Questions 251-256

Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions 33

Questions 257-266

Behavior of Polynomial and Rational Functions Near ± ∞ 36

Questions 267-272

Chapter 6 Exponential, Logarithmic, and Other Common Functions 37

Exponential Functions 37

Questions 273-281

Logarithmic Functions 39

Questions 282-294

Exponential and Logarithmic Equations 41

Questions 295-302

Other Common Functions 42

Questions 303-312

Chapter 7 Matrices and Systems of Linear Equations 45

Basic Concepts of Matrices 45

Questions 313-322

Determinants and Inverses 46

Questions 323-332

Solving Systems of Linear Equations Using Inverse Matrices 48

Questions 333-334

Solving Systems of Linear Equations Using Cramer's Rule 49

Questions 335-339

Solving Systems of Linear Equations Using Elementary Row Transformations 50

Questions 340-342

Chapter 8 Sequences, Series, and Mathematical Induction 53

Sequences 53

Questions 343-362

Series 55

Questions 363-372

Mathematical Induction 56

Questions 373-382

Chapter 9 Trigonometric Functions 59

Angle Measurement 59

Questions 383-392

Trigonometric Functions 60

Questions 393-407

Trigonometric Graphs and Transformations 64

Questions 408-432

Chapter 10 Analytic Trigonometry 69

Fundamental Trigonometric Identities 69

Questions 433-442

Sum and Difference Identities 70

Questions 443-455

Double- and Half-Angle Identities 71

Questions 456-460

Trigonometric Equations 72

Questions 461-472

Solving Triangles 74

Questions 473-482

Chapter 11 Conic Sections 77

The Circle 77

Questions 483-488

The Ellipse 78

Questions 489-493

The Hyperbola 79

Questions 494-497

The Parabola 80

Questions 498-501

Answers 81