Chapter 1

Linear Relations And Functions

1.1 Relations and Functions Check For Understanding p.8
Exercises p.10
1.2 Composition of Functions Check For Understanding p.17
Exercises p.17
1.3 Graphing Linear Equations Check For Understanding p.23
Exercises p.24
1.4 Writing Linear Equations Check For Understanding p.29
Exercises p.30
Mid-Chapter Quiz p.31
1.5 Writing Equations of Parallel and Perpendicular Lines Check For Understanding p.35
Exercises p.36
1.6 Real-World Data with Linear Functions Check For Understanding p.41
Exercises p.42
1.7 Piecewise Functions Check For Understanding p.48
Exercises p.49
1.8 Graphing Linear Inequalities Check For Understanding p.54
Exercises p.55
Understanding and Using the Vocabulary p.57
Skills and Concepts p.58
Applications and Problem Solving p.61

Chapter 2

Systems Of Linear Equations And Inequalities

2.1 Solving Systems of Equations in Two Variables Check For Understanding p.70
Exercises p.71
2.2 Solving Systems of Equations in Three Variables Check For Understanding p.76
Exercises p.76
2.3 Real-World Data with Matrices Check For Understanding p.82
Exercises p.83
2.4 Motion with Matrices Check For Understanding p.92
Exercises p.93
Mid-Chapter Quiz p.96
2.5 Determinants and Multiplicative Inverses of Matrices Exercises p.102
Check For Understanding p.102
2.6 Solving Systems of Linear Inequalities Check For Understanding p.109
Exercises p.110
2.7 Linear Programming Check For Understanding p.115
Exercises p.116
Understanding and Using the Vocabulary p.119
Skills and Concepts p.120
Applications and Problem Solving p.123

Chapter 3

The Nature Of Graphs

3.1 Symmetry and Coordinate Graphs Check For Understanding p.133
Exercises p.134
3.2 Families of Graphs Check For Understanding p.142
Exercises p.143
3.3 Graphs of Nonlinear Inequalities Check For Understanding p.149
Exercises p.150
Mid-Chapter Quiz p.151
3.4 Inverse Functions and Relations Check For Understanding p.155
Exercises p.156
3.5 Continuity and End Behavior Check For Understanding p.165
Exercises p.166
3.6 Critical Points and Extrema Check For Understanding p.176
Exercises p.177
3.7 Graphs of Rational Functions Check For Understanding p.185
Exercises p.186
3.8 Direct, Inverse, and Joint Variation Check For Understanding p.193
Exercises p.194
Understanding and Using the Vocabulary p.197
Skills and Concepts p.198
Applications and Problem Solving p.201

Chapter 4

Polynomial And Rational Functions

4.1 Polynomial Functions Check For Understanding p.209
Exercises p.210
4.2 Quadratic Equations Check For Understanding p.218
Exercises p.219
4.3 The Remainder and Factor Theorems Exercises p.226
Check For Understanding p.226
4.4 The Rational Root Theorem Check For Understanding p.233
Exercises p.234
Mid-Chapter Quiz p.235
4.5 Locating Zeros of a Polynomial Function Check For Understanding p.239
Exercises p.240
4.6 Rational Equations and Partial Fractions Exercises p.247
Check For Understanding p.247
4.7 Radical Equations and Inequalities Check For Understanding p.254
Exercises p.255
4.8 Real-World Data with Polynomial Functions Check For Understanding p.261
Exercises p.262
Understanding and Using the Vocabulary p.267
Skills and Concepts p.268
Applications and Problem Solving p.271

Chapter 5

The Trigonometric Functions

5.1 Angles and Degree Measure Check For Understanding p.280
Exercises p.281
5.2 Trigonometric Ratios in Right Triangles Check For Understanding p.287
Exercises p.288
5.3 Trigonometric Functions on the Unit Circle Check For Understanding p.296
Exercises p.296
5.4 Applying Trigonometric Functions Check For Understanding p.301
Exercises p.302
Mid-Chapter Quiz p.304
5.5 Solving Right Triangles Check For Understanding p.308
Exercises p.309
5.6 The Law of Sines Exercises p.316
Check For Understanding p.316
5.7 The Ambiguous Case for the Law of Sines Check For Understanding p.324
Exercises p.324
5.8 The Law of Cosines Check For Understanding p.330
Exercises p.331
Understanding and Using the Vocabulary p.335
Skills and Concepts p.336
Applications and Problem Solving p.339

Chapter 6

Graphs Of Trigonometric Functions

6.1 Angles and Radian Measure Check For Understanding p.347
Exercises p.348
6.2 Linear and Angular Velocity Check For Understanding p.355
Exercises p.355
6.3 Graphing Sine and Cosines Functions Check For Understanding p.363
Exercises p.363
6.4 Amplitude and Period of Sine and Cosine Functions Check For Understanding p.372
Exercises p.373
Mid-Chapter Quiz p.377
6.5 Translations of Sine and Cosine Functions Check For Understanding p.383
6.6 Real-World Data with Sinusoidal Functions Check For Understanding p.390
Exercises p.391
6.7 Graphing Other Trigonometric Functions Exercises p.400
Check For Understanding p.400
6.8 Trigonometric Inverses and Their Graphs Exercises p.410
Check For Understanding p.410
Exercises p.413
Skills and Concepts p.414
Applications and Problem Solving p.417

Chapter 7

Trigonometric Identities And Equations

7.1 Basic Trigonometric Identities Check For Understanding p.427
Exercises p.427
7.2 Verifying Trigonometric Identities Check For Understanding p.433
Exercises p.434
7.3 Sum and Difference Identities Check For Understanding p.441
Exercises p.442
Mid-Chapter Quiz p.445
7.4 Double-Angle and Half-Angle Identities Check For Understanding p.453
Exercises p.454
7.5 Solving Trigonometric Equations Exercises p.459
Check For Understanding p.459
7.6 Normal Form of a Linear Equation Check For Understanding p.467
Exercises p.467
7.7 Distance From a Point to a Line Check For Understanding p.474
Exercises p.475
Understanding and Using the Vocabulary p.477
Skills and Concepts p.478
Applications and Problem Solving p.481

Chapter 8

Vectors And Parametric Equations

8.1 Geometric Vectors Check For Understanding p.490
Exercises p.491
8.2 Algebraic Vectors Check For Understanding p.496
Exercises p.497
8.3 Vectors in Three-Dimensional Space Check For Understanding p.502
Exercises p.503
8.4 Perpendicular Vectors Check For Understanding p.508
Exercises p.509
Mid-Chapter Quiz p.511
8.5 Applications with Vectors Check For Understanding p.516
Exercises p.517
8.6 Vectors and Parametric Equations Check For Understanding p.523
Exercises p.524
Check For Understanding p.531
8.7 Motion Using Parametric Equations Exercises p.531
8.8 Transformational Matrices in Three-Dimensional Space Check For Understanding p.539
Exercises p.540
Understanding and Using the Vocabulary p.543
Skills and Concepts p.544
Applications and Problem Solving p.547

Chapter 9

Polar Coordinates And Complex Numbers

Check For Understanding p.557
9.1 Polar Coordinates Exercises p.558
9.2 Graphs of Polar Equations Exercises p.565
Check For Understanding p.565
9.3 Polar and Rectangular Coordinates Check For Understanding p.571
Exercises p.572
9.4 Polar Form of a Linear Equation Check For Understanding p.577
Exercises p.578
Mid-Chapter Quiz p.579
9.5 Simplifying Complex Numbers Exercises p.583
Check For Understanding p.583
9.6 The Complex Plane and Polar Form of Complex Numbers Check For Understanding p.589
Exercises p.590
9.7 Products and Quotients of Complex Numbers in Polar Form Exercises p.596
Check For Understanding p.596
9.8 Powers and Roots of Complex Numbers Check For Understanding p.604
Exercises p.605
Understanding and Using the Vocabulary p.607
Skills and Concepts p.608
Applications and Problem Solving p.611

Chapter 10

Conics

10.1 Introduction to Analytic Geometry Check For Understanding p.619
Exercises p.620
10.2 Circles Check For Understanding p.627
Exercises p.627
10.3 Ellipses Check For Understanding p.637
Exercises p.638
10.4 Hyperbolas Check For Understanding p.649
Exercises p.650
10.5 Parabolas Check For Understanding p.658
Exercises p.659
Mid-Chapter Quiz p.661
10.6 Rectangular and Parametric Forms of Conic Sections Exercises p.667
Check For Understanding p.667
10.7 Transformations of Conics Check For Understanding p.674
Exercises p.675
10.8 Systems of Second-Degree Equations and Inequalities Exercises p.682
Check For Understanding p.682
Understanding and Using the Vocabulary p.687
Skills and Concepts p.688
Applications and Problem Solving p.691

Chapter 11

Exponential And Logarithmic Functions

11.1 Real Exponents Check For Understanding p.700
Exercises p.700
11.2 Exponential Functions Exercises p.708
Check For Understanding p.708
11.3 The Number "e" Exercises p.714
Check For Understanding p.714
Mid-Chapter Quiz p.717
11.4 Logarithmic Functions Check For Understanding p.722
Exercises p.723
11.5 Common Logarithms Exercises p.730
Check For Understanding p.730
11.6 Natural Logarithms Check For Understanding p.735
Exercises p.736
11.7 Real-World Data with Exponential and Logarithmic Functions Check For Understanding p.744
Exercises p.745
Understanding and Using the Vocabulary p.749
Skills and Concepts p.750
Applications and Problem Solving p.753

Chapter 12

Sequences And Series

12.1 Arithmetic Sequences and Series Exercises p.762
12.2 Geometric Sequences and Series Exercises p.771
12.3 Infinite Sequences and Series Exercises p.780
12.4 Convergent and Divergent Series Exercises p.790
Mid-Chapter Quiz p.793
12.5 Sigma Notation and the nth Term Exercises p.797
12.6 The Binomial Theorem Exercises p.803
12.7 Special Sequences and Series Exercises p.811
12.8 Sequences and Iteration Exercises p.819
12.9 Mathematical Induction Exercises p.826
Study Guide and Assessment p.829

Chapter 13

Combinatorics And Probability

13.1 Permutations and Combinations Exercises p.842
13.2 Permutations with Repetitions and Circular Permutations Exercises p.848
13.3 Probability and Odds Exercises p.855
Mid-Chapter Quiz p.858
13.4 Probabilities of Compound Events Exercises p.863
13.5 Conditional Probability Exercises p.870
13.6 The Binomial Theorem and Probability Exercises p.878
Study Guide and Assessment p.881

Chapter 14

Statistics And Data Analysis

14.1 The Frequency Distribution Exercises p.892
14.2 Measures of Central Tendency Exercises p.903
14.3 Measures of Variability Exercises p.914
Mid-Chapter Quiz p.917
14.4 The Normal Distribution Exercises p.922
14.5 Sample Sets of Data Exercises p.930
Study Guide and Assessment p.933

Chapter 15

Introduction To Calculus

15.1 Limits Exercises p.946
15.2 Derivatives and Antiderivatives Exercises p.957
Mid-Chapter Quiz p.960
15.3 Area Under a Curve Exercises p.966
15.4 The Fundamental Theorem of Calculus Exercises p.972
Study Guide and Assessment p.977
Not your textbook? Try these editions (see all)
Advanced Mathematical Concepts: Precalculus with Applications Advanced Mathematical Concepts: Precalculus with Applications Advanced Mathematical Concepts: Precalculus with Applications, Texas Edition Merrill Advanced Mathematical Concepts: Precalculus with Applications Advanced Mathematical Concepts: Precalculus with Applications

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