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McGrawHill's 500 College Precalculus Questions: Ace Your College Exams
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Overview
Sharpen your skills and prepare for your precalculus exam with a wealth of essential facts in a quickandeasy Q&A format!
Get the questionandanswer practice you need with McGrawHill'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 testtaking 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
ISBN13:  9780071789530 

Publisher:  McGrawHill Professional Publishing 
Publication date:  12/19/2012 
Pages:  176 
Sales rank:  806,541 
Product dimensions:  4.30(w) x 10.90(h) x 0.50(d) 
About the Author
Sandra McCune and William Clark formerly taught mathematics at Stephen F. Austin State University.
Read an Excerpt
Sandra McCune and William Clark formerly taught mathematics at Stephen F. Austin State University.
First Chapter
Sandra McCune and William Clark formerly taught mathematics at Stephen F. Austin State University.
Table of Contents
Introduction ix
Chapter 1 Basic Algebraic Skills 1
Working with Real Numbers 1
Questions 140
Complex Numbers 5
Questions 4155
The Cartesian Coordinate System 6
Questions 5665
Chapter 2 Precalculus Function Skills 9
Basic Function Concepts 9
Questions 6678
Operations with Functions 10
Questions 79120
Chapter 3 Graphs of Functions 13
Basic Graphing Concepts 13
Questions 121130
Increasing and Decreasing Behavior and Extrema 14
Questions 131137
Function Transformations 17
Questions 138165
Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities 21
Linear Functions 21
Questions 166174
Linear Equations and Inequalities 22
Questions 175182
Quadratic Functions 23
Questions 183196
Quadratic Equations and Inequalities 25
Questions 197207
Average Rate of Change and Difference Quotients for Linear and Quadratic Functions 26
Questions 208220
Linear and Quadratic Function Models and Applications 27
Questions 221230
Chapter 5 Polynomial and Rational Functions 29
Polynomial Functions 29
Questions 231236
Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra 30
Questions 237245
Descartes' Rule of Signs and Rational Root Theorem 31
Questions 246250
Rational Functions 32
Questions 251256
Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions 33
Questions 257266
Behavior of Polynomial and Rational Functions Near ± ∞ 36
Questions 267272
Chapter 6 Exponential, Logarithmic, and Other Common Functions 37
Exponential Functions 37
Questions 273281
Logarithmic Functions 39
Questions 282294
Exponential and Logarithmic Equations 41
Questions 295302
Other Common Functions 42
Questions 303312
Chapter 7 Matrices and Systems of Linear Equations 45
Basic Concepts of Matrices 45
Questions 313322
Determinants and Inverses 46
Questions 323332
Solving Systems of Linear Equations Using Inverse Matrices 48
Questions 333334
Solving Systems of Linear Equations Using Cramer's Rule 49
Questions 335339
Solving Systems of Linear Equations Using Elementary Row Transformations 50
Questions 340342
Chapter 8 Sequences, Series, and Mathematical Induction 53
Sequences 53
Questions 343362
Series 55
Questions 363372
Mathematical Induction 56
Questions 373382
Chapter 9 Trigonometric Functions 59
Angle Measurement 59
Questions 383392
Trigonometric Functions 60
Questions 393407
Trigonometric Graphs and Transformations 64
Questions 408432
Chapter 10 Analytic Trigonometry 69
Fundamental Trigonometric Identities 69
Questions 433442
Sum and Difference Identities 70
Questions 443455
Double and HalfAngle Identities 71
Questions 456460
Trigonometric Equations 72
Questions 461472
Solving Triangles 74
Questions 473482
Chapter 11 Conic Sections 77
The Circle 77
Questions 483488
The Ellipse 78
Questions 489493
The Hyperbola 79
Questions 494497
The Parabola 80
Questions 498501
Answers 81
Reading Group Guide
Introduction ix
Chapter 1 Basic Algebraic Skills 1
Working with Real Numbers 1
Questions 140
Complex Numbers 5
Questions 4155
The Cartesian Coordinate System 6
Questions 5665
Chapter 2 Precalculus Function Skills 9
Basic Function Concepts 9
Questions 6678
Operations with Functions 10
Questions 79120
Chapter 3 Graphs of Functions 13
Basic Graphing Concepts 13
Questions 121130
Increasing and Decreasing Behavior and Extrema 14
Questions 131137
Function Transformations 17
Questions 138165
Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities 21
Linear Functions 21
Questions 166174
Linear Equations and Inequalities 22
Questions 175182
Quadratic Functions 23
Questions 183196
Quadratic Equations and Inequalities 25
Questions 197207
Average Rate of Change and Difference Quotients for Linear and Quadratic Functions 26
Questions 208220
Linear and Quadratic Function Models and Applications 27
Questions 221230
Chapter 5 Polynomial and Rational Functions 29
Polynomial Functions 29
Questions 231236
Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra 30
Questions 237245
Descartes' Rule of Signs and Rational Root Theorem 31
Questions 246250
Rational Functions 32
Questions 251256
Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions 33
Questions 257266
Behavior of Polynomial and Rational Functions Near ± ∞ 36
Questions 267272
Chapter 6 Exponential, Logarithmic, and Other Common Functions 37
Exponential Functions 37
Questions 273281
Logarithmic Functions 39
Questions 282294
Exponential and Logarithmic Equations 41
Questions 295302
Other Common Functions 42
Questions 303312
Chapter 7 Matrices and Systems of Linear Equations 45
Basic Concepts of Matrices 45
Questions 313322
Determinants and Inverses 46
Questions 323332
Solving Systems of Linear Equations Using Inverse Matrices 48
Questions 333334
Solving Systems of Linear Equations Using Cramer's Rule 49
Questions 335339
Solving Systems of Linear Equations Using Elementary Row Transformations 50
Questions 340342
Chapter 8 Sequences, Series, and Mathematical Induction 53
Sequences 53
Questions 343362
Series 55
Questions 363372
Mathematical Induction 56
Questions 373382
Chapter 9 Trigonometric Functions 59
Angle Measurement 59
Questions 383392
Trigonometric Functions 60
Questions 393407
Trigonometric Graphs and Transformations 64
Questions 408432
Chapter 10 Analytic Trigonometry 69
Fundamental Trigonometric Identities 69
Questions 433442
Sum and Difference Identities 70
Questions 443455
Double and HalfAngle Identities 71
Questions 456460
Trigonometric Equations 72
Questions 461472
Solving Triangles 74
Questions 473482
Chapter 11 Conic Sections 77
The Circle 77
Questions 483488
The Ellipse 78
Questions 489493
The Hyperbola 79
Questions 494497
The Parabola 80
Questions 498501
Answers 81
Interviews
Introduction ix
Chapter 1 Basic Algebraic Skills 1
Working with Real Numbers 1
Questions 140
Complex Numbers 5
Questions 4155
The Cartesian Coordinate System 6
Questions 5665
Chapter 2 Precalculus Function Skills 9
Basic Function Concepts 9
Questions 6678
Operations with Functions 10
Questions 79120
Chapter 3 Graphs of Functions 13
Basic Graphing Concepts 13
Questions 121130
Increasing and Decreasing Behavior and Extrema 14
Questions 131137
Function Transformations 17
Questions 138165
Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities 21
Linear Functions 21
Questions 166174
Linear Equations and Inequalities 22
Questions 175182
Quadratic Functions 23
Questions 183196
Quadratic Equations and Inequalities 25
Questions 197207
Average Rate of Change and Difference Quotients for Linear and Quadratic Functions 26
Questions 208220
Linear and Quadratic Function Models and Applications 27
Questions 221230
Chapter 5 Polynomial and Rational Functions 29
Polynomial Functions 29
Questions 231236
Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra 30
Questions 237245
Descartes' Rule of Signs and Rational Root Theorem 31
Questions 246250
Rational Functions 32
Questions 251256
Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions 33
Questions 257266
Behavior of Polynomial and Rational Functions Near ± ∞ 36
Questions 267272
Chapter 6 Exponential, Logarithmic, and Other Common Functions 37
Exponential Functions 37
Questions 273281
Logarithmic Functions 39
Questions 282294
Exponential and Logarithmic Equations 41
Questions 295302
Other Common Functions 42
Questions 303312
Chapter 7 Matrices and Systems of Linear Equations 45
Basic Concepts of Matrices 45
Questions 313322
Determinants and Inverses 46
Questions 323332
Solving Systems of Linear Equations Using Inverse Matrices 48
Questions 333334
Solving Systems of Linear Equations Using Cramer's Rule 49
Questions 335339
Solving Systems of Linear Equations Using Elementary Row Transformations 50
Questions 340342
Chapter 8 Sequences, Series, and Mathematical Induction 53
Sequences 53
Questions 343362
Series 55
Questions 363372
Mathematical Induction 56
Questions 373382
Chapter 9 Trigonometric Functions 59
Angle Measurement 59
Questions 383392
Trigonometric Functions 60
Questions 393407
Trigonometric Graphs and Transformations 64
Questions 408432
Chapter 10 Analytic Trigonometry 69
Fundamental Trigonometric Identities 69
Questions 433442
Sum and Difference Identities 70
Questions 443455
Double and HalfAngle Identities 71
Questions 456460
Trigonometric Equations 72
Questions 461472
Solving Triangles 74
Questions 473482
Chapter 11 Conic Sections 77
The Circle 77
Questions 483488
The Ellipse 78
Questions 489493
The Hyperbola 79
Questions 494497
The Parabola 80
Questions 498501
Answers 81
Recipe
Introduction ix
Chapter 1 Basic Algebraic Skills 1
Working with Real Numbers 1
Questions 140
Complex Numbers 5
Questions 4155
The Cartesian Coordinate System 6
Questions 5665
Chapter 2 Precalculus Function Skills 9
Basic Function Concepts 9
Questions 6678
Operations with Functions 10
Questions 79120
Chapter 3 Graphs of Functions 13
Basic Graphing Concepts 13
Questions 121130
Increasing and Decreasing Behavior and Extrema 14
Questions 131137
Function Transformations 17
Questions 138165
Chapter 4 Linear and Quadratic Functions, Equations, and Inequalities 21
Linear Functions 21
Questions 166174
Linear Equations and Inequalities 22
Questions 175182
Quadratic Functions 23
Questions 183196
Quadratic Equations and Inequalities 25
Questions 197207
Average Rate of Change and Difference Quotients for Linear and Quadratic Functions 26
Questions 208220
Linear and Quadratic Function Models and Applications 27
Questions 221230
Chapter 5 Polynomial and Rational Functions 29
Polynomial Functions 29
Questions 231236
Remainder Theorem, Factor Theorem, and Fundamental Theorem of Algebra 30
Questions 237245
Descartes' Rule of Signs and Rational Root Theorem 31
Questions 246250
Rational Functions 32
Questions 251256
Vertical, Horizontal, and Oblique Asymptotes and Holes in Graphs of Rational Functions 33
Questions 257266
Behavior of Polynomial and Rational Functions Near ± ∞ 36
Questions 267272
Chapter 6 Exponential, Logarithmic, and Other Common Functions 37
Exponential Functions 37
Questions 273281
Logarithmic Functions 39
Questions 282294
Exponential and Logarithmic Equations 41
Questions 295302
Other Common Functions 42
Questions 303312
Chapter 7 Matrices and Systems of Linear Equations 45
Basic Concepts of Matrices 45
Questions 313322
Determinants and Inverses 46
Questions 323332
Solving Systems of Linear Equations Using Inverse Matrices 48
Questions 333334
Solving Systems of Linear Equations Using Cramer's Rule 49
Questions 335339
Solving Systems of Linear Equations Using Elementary Row Transformations 50
Questions 340342
Chapter 8 Sequences, Series, and Mathematical Induction 53
Sequences 53
Questions 343362
Series 55
Questions 363372
Mathematical Induction 56
Questions 373382
Chapter 9 Trigonometric Functions 59
Angle Measurement 59
Questions 383392
Trigonometric Functions 60
Questions 393407
Trigonometric Graphs and Transformations 64
Questions 408432
Chapter 10 Analytic Trigonometry 69
Fundamental Trigonometric Identities 69
Questions 433442
Sum and Difference Identities 70
Questions 443455
Double and HalfAngle Identities 71
Questions 456460
Trigonometric Equations 72
Questions 461472
Solving Triangles 74
Questions 473482
Chapter 11 Conic Sections 77
The Circle 77
Questions 483488
The Ellipse 78
Questions 489493
The Hyperbola 79
Questions 494497
The Parabola 80
Questions 498501
Answers 81