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1 | (2) |
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3 | (3) |
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6 | (2) |
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8 | (3) |
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R.5 Factoring Polynomials |
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11 | (3) |
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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) |
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Chapter 1 Equations and Inequalities |
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25 | (9) |
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34 | (9) |
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1.3 Complex Numbers; Quadratic Equations in the Complex Number System |
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43 | (3) |
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1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations |
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46 | (10) |
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56 | (6) |
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1.6 Equations and Inequalities Involving Absolute Value |
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62 | (5) |
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1.7 Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications |
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67 | (16) |
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71 | (8) |
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79 | (2) |
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81 | (2) |
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2.1 The Distance and Midpoint Formulas |
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83 | (5) |
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2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry |
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88 | (7) |
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95 | (8) |
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103 | (6) |
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109 | (14) |
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111 | (7) |
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118 | (1) |
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119 | (3) |
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122 | (1) |
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Chapter 3 Functions and Their Graphs |
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123 | (7) |
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3.2 The Graph of a Function |
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130 | (5) |
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3.3 Properties of Functions |
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135 | (8) |
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3.4 Library of Functions; Piecewise-defined Functions |
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143 | (6) |
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3.5 Graphing Techniques: Transformations |
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149 | (8) |
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3.6 Mathematical Models: Building Functions |
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157 | (19) |
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160 | (7) |
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167 | (3) |
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170 | (4) |
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174 | (2) |
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Chapter 4 Linear and Quadratic Functions |
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4.1 Properties of Linear Functions and Linear Models |
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176 | (5) |
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4.2 Building Linear Functions from Data |
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181 | (3) |
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4.3 Quadratic Functions and Their Properties |
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184 | (10) |
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4.4 Build Quadratic Models from Verbal Descriptions and from Data |
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194 | (4) |
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4.5 Inequalities Involving Quadratic Functions |
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198 | (26) |
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208 | (8) |
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216 | (2) |
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218 | (3) |
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221 | (3) |
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Chapter 5 Polynomial and Rational Functions |
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5.1 Polynomial Functions and Models |
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224 | (11) |
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5.2 Properties of Rational Functions |
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235 | (5) |
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5.3 The Graph of a Rational Function |
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240 | (26) |
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5.4 Polynomial and Rational Inequalities |
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266 | (11) |
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5.5 The Real Zeros of a Polynomial Function |
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277 | (16) |
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5.6 Complex Zeros; Fundamental Theorem of Algebra |
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293 | (30) |
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297 | (16) |
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313 | (4) |
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317 | (4) |
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321 | (2) |
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Chapter 6 Exponential and Logarithmic Functions |
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323 | (8) |
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6.2 One-to-One Functions; Inverse Functions |
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331 | (10) |
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6.3 Exponential Functions |
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341 | (10) |
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6.4 Logarithmic Functions |
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351 | (11) |
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6.5 Properties of Logarithms |
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362 | (4) |
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6.6 Logarithmic and Exponential Equations |
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366 | (10) |
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376 | (4) |
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6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models |
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380 | (4) |
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6.9 Building Exponential, Logarithmic, and Logistic Models from Data |
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384 | (25) |
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387 | (12) |
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399 | (4) |
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403 | (4) |
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407 | (2) |
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Chapter 7 Trigonometric Functions |
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7.1 Angles and Their Measure |
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409 | (4) |
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7.2 Right Triangle Trigonometry |
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413 | (8) |
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7.3 Computing the Values of Trigonometric Functions of Acute Angles |
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421 | (7) |
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7.4 Trigonometric Functions of Any Angle |
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428 | (7) |
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7.5 Unit Circle Approach: Properties of the Trigonometric Functions |
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435 | (4) |
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7.6 Graphs of the Sine and Cosine Functions |
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439 | (11) |
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7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions |
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450 | (4) |
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7.8 Phase Shift; Sinusoidal Curve Fitting |
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454 | (26) |
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460 | (9) |
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469 | (4) |
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473 | (4) |
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477 | (3) |
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Chapter 8 Analytic Trigonometry |
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8.1 The Inverse Sine, Cosine, and Tangent Functions |
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480 | (6) |
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8.2 The Inverse Trigonometric Functions (Continued) |
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486 | (6) |
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8.3 Trigonometric Equations |
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492 | (9) |
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8.4 Trigonometric Identities |
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501 | (6) |
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8.5 Sum and Difference Formulas |
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507 | (12) |
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8.6 Double-angle and Half-angle Formulas |
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519 | (13) |
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8.7 Product-to-Sum and Sum-to-Product Formulas |
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532 | (34) |
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538 | (14) |
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552 | (5) |
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557 | (5) |
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562 | (4) |
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Chapter 9 Applications of Trigonometric Functions |
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9.1 Applications Involving Right Triangles |
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566 | (4) |
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570 | (7) |
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577 | (5) |
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582 | (4) |
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9.5 Simple Harmonic Motion; Damped Motion; Combining Waves |
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586 | (23) |
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591 | (5) |
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596 | (3) |
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599 | (6) |
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605 | (4) |
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Chapter 10 Polar Coordinates; Vectors |
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609 | (4) |
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10.2 Polar Equations and Graphs |
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613 | (15) |
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10.3 The Complex Plane; De Moivre's Theorem |
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628 | (6) |
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634 | (6) |
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640 | (19) |
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642 | (8) |
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650 | (4) |
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654 | (2) |
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656 | (3) |
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Chapter 11 Analytic Geometry |
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659 | (8) |
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667 | (8) |
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675 | (10) |
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11.5 Rotation of Axes; General Form of a Conic |
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685 | (6) |
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11.6 Polar Equations of Conies |
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691 | (4) |
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11.7 Plane Curves and Parametric Equations |
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695 | (28) |
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702 | (10) |
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712 | (4) |
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716 | (3) |
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719 | (4) |
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Chapter 12 Systems of Equations and Inequalities |
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12.1 Systems of Linear Equations: Substitution and Elimination |
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723 | (11) |
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12.2 Systems of Linear Equations: Matrices |
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734 | (13) |
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12.3 Systems of Linear Equations: Determinants |
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747 | (8) |
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755 | (10) |
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12.5 Partial Fraction Decomposition |
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765 | (8) |
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12.6 Systems of Nonlinear Equations |
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773 | (14) |
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12.7 Systems of Inequalities |
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787 | (8) |
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795 | (37) |
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802 | (15) |
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817 | (9) |
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826 | (3) |
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829 | (3) |
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Chapter 13 Sequences; Induction; the Binomial Theorem |
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832 | (4) |
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13.2 Arithmetic Sequences |
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836 | (4) |
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13.3 Geometric Sequences; Geometric Series |
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840 | (5) |
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13.4 Mathematical Induction |
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845 | (4) |
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13.5 The Binomial Theorem |
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849 | (16) |
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852 | (4) |
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856 | (3) |
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859 | (3) |
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862 | (3) |
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Chapter 14 Counting and Probability |
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865 | (1) |
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14.2 Permutations and Combinations |
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866 | (2) |
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868 | (12) |
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871 | (2) |
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873 | (1) |
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874 | (3) |
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877 | (3) |
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Appendix Graphing Utilities |
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Section 1 The Viewing Rectangle |
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880 | (1) |
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Section 2 Using a Graphing Utility to Graph Equations |
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880 | (2) |
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Section 3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry |
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882 | (1) |
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883 | |