| Chapter R Review |
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1 | (2) |
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3 | (3) |
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6 | (2) |
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8 | (4) |
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R.5 Factoring Polynomials |
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12 | (2) |
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14 | (1) |
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15 | (5) |
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R.8 nth Roots; Rational Exponents |
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20 | (5) |
| Chapter 1 Graphs, Equations, and Inequalities |
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1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations |
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25 | (8) |
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1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations |
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33 | (6) |
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39 | (9) |
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1.4 Complex Numbers; Quadratic Equations in the Complex Number System |
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48 | (5) |
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1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations |
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53 | (10) |
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1.6 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Jobs |
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63 | (3) |
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66 | (7) |
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73 | (11) |
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84 | (4) |
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88 | (1) |
| Chapter 2 Graphs |
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2.1 Intercepts; Symmetry; Graphing Key Equations |
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89 | (9) |
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98 | (8) |
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106 | (6) |
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112 | (2) |
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114 | (6) |
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120 | (2) |
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122 | (2) |
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124 | (1) |
| Chapter 3 Functions and Their Graphs |
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125 | (7) |
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3.2 The Graph of a Function |
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132 | (5) |
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3.3 Properties of Functions |
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137 | (9) |
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3.4 Library of Functions; Piecewise-defined Functions |
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146 | (6) |
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3.5 Graphing Techniques: Transformations |
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152 | (9) |
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3.6 Mathematical Models: Building Functions |
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161 | (3) |
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164 | (7) |
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171 | (3) |
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174 | (4) |
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178 | (2) |
| Chapter 4 Linear and Quadratic Functions |
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4.1 Properties of Linear Functions and Linear Models |
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180 | (5) |
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4.2 Building Linear Models from Data |
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185 | (3) |
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4.3 Quadratic Functions and Their Properties |
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188 | (12) |
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4.4 Build Quadratic Models from Verbal Descriptions and from Data |
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200 | (4) |
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4.5 Inequalities Involving Quadratic Functions |
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204 | (9) |
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213 | (8) |
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221 | (3) |
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224 | (3) |
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227 | (3) |
| Chapter 5 Polynomial and Rational Functions |
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5.1 Polynomial Functions and Models |
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230 | (14) |
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5.2 The Real Zeros of a Polynomial Function |
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244 | (15) |
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5.3 Complex Zeros; Fundamental Theorem of Algebra |
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259 | (5) |
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5.4 Properties of Rational Functions |
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264 | (5) |
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5.5 The Graph of a Rational Function |
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269 | (25) |
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5.6 Polynomial and Rational Inequalities |
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294 | (12) |
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306 | (15) |
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321 | (4) |
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325 | (5) |
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330 | (1) |
| Chapter 6 Exponential and Logarithmic Functions |
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331 | (8) |
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6.2 One-to-One Functions; Inverse Functions |
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339 | (11) |
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6.3 Exponential Functions |
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350 | (20) |
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6.4 Logarithmic Functions |
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370 | (1) |
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6.5 Properties of Logarithms |
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371 | (4) |
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6.6 Logarithmic and Exponential Equations |
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375 | (10) |
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385 | (4) |
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6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models |
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389 | (6) |
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6.9 Building Exponential, Logarithmic, and Logistic Models from Data |
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395 | (3) |
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398 | (11) |
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409 | (4) |
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413 | (4) |
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417 | (3) |
| Chapter 7 Trigonometric Functions |
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7.1 Angles and Their Measure |
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420 | (4) |
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7.2 Right Triangle Trigonometry |
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424 | (8) |
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7.3 Computing the Values of Trigonometric Functions of Acute Angles |
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432 | (7) |
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7.4 Trigonometric Functions of Any Angle |
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439 | (8) |
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7.5 Unit Circle Approach; Properties of the Trigonometric Functions |
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447 | (4) |
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7.6 Graphs of the Sine and Cosine Functions |
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451 | (11) |
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7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions |
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462 | (5) |
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7.8 Phase Shift; Sinusoidal Curve Fitting |
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467 | (6) |
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473 | (8) |
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481 | (4) |
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485 | (4) |
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489 | (4) |
| Chapter 8 Analytic Trigonometry |
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8.1 The Inverse Sine, Cosine, and Tangent Functions |
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493 | (6) |
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8.2 The Inverse Trigonometric Functions (Continued) |
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499 | (6) |
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8.3 Trigonometric Equations |
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505 | (10) |
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8.4 Trigonometric Identities |
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515 | (6) |
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8.5 Sum and Difference Formulas |
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521 | (12) |
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8.6 Double-Angle and Half-Angle Formulas |
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533 | (15) |
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8.7 Product-to-Sum and Sum-to-Product Formulas |
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548 | (5) |
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553 | (14) |
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567 | (5) |
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572 | (5) |
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577 | (4) |
| Chapter 9 Applications of Trigonometric Functions |
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9.1 Applications Involving Right Triangles |
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581 | (4) |
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585 | (8) |
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593 | (6) |
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599 | (5) |
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9.5 Simple Harmonic Motion; Damped Motion; Combining Waves |
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604 | (4) |
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608 | (6) |
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614 | (3) |
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617 | (6) |
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623 | (4) |
| Chapter 10 Polar Coordinates; Vectors |
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627 | (4) |
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10.2 Polar Equations and Graphs |
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631 | (14) |
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10.3 The Complex Plane; De Moivre's Theorem |
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645 | (6) |
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651 | (6) |
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657 | (3) |
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660 | (8) |
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668 | (3) |
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671 | (3) |
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674 | (3) |
| Chapter 11 Analytic Geometry |
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677 | (8) |
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685 | (8) |
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693 | (10) |
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11.5 Rotation of Axes; General Form of a Conic |
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703 | (6) |
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11.6 Polar Equations of Conics |
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709 | (4) |
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11.7 Plane Curves and Parametric Equations |
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713 | (7) |
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720 | (10) |
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730 | (4) |
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734 | (3) |
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737 | (3) |
| Chapter 12 Systems of Equations and Inequalities |
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12.1 Systems of Linear Equations: Substitution and Elimination |
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740 | (11) |
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12.2 Systems of Linear Equations: Matrices |
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751 | (14) |
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12.3 Systems of Linear Equations: Determinants |
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765 | (7) |
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772 | (10) |
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12.5 Partial Fraction Decomposition |
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782 | (8) |
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12.6 Systems of Nonlinear Equations |
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790 | (14) |
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12.7 Systems of Inequalities |
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804 | (8) |
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812 | (7) |
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819 | (15) |
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834 | (9) |
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843 | (3) |
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846 | (3) |
| Chapter 13 Sequences; Induction; the Binomial Theorem |
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849 | (5) |
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13.2 Arithmetic Sequences |
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854 | (4) |
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13.3 Geometric Sequences; Geometric Series |
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858 | (5) |
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13.4 Mathematical Induction |
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863 | (4) |
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13.5 The Binomial Theorem |
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867 | (3) |
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870 | (4) |
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874 | (3) |
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877 | (3) |
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880 | (3) |
| Chapter 14 Counting and Probability |
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883 | (1) |
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14.2 Permutations and Combinations |
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884 | (2) |
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886 | (4) |
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890 | (1) |
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891 | (2) |
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893 | (2) |
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895 | |
