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Functions, Lines, and Change |
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1 | (59) |
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Functions and Function Notation |
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2 | (8) |
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10 | (6) |
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16 | (9) |
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Formulas for Linear Functions |
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25 | (8) |
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Geometric Properties of Linear Functions |
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33 | (9) |
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Fitting Linear Functions to Data |
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42 | (17) |
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48 | (4) |
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52 | (2) |
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Tools for Chapter One: Linear Equations |
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54 | (5) |
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Functions, Quadratics, and Concavity |
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59 | (42) |
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60 | (6) |
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66 | (5) |
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Piecewise Defined Functions |
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71 | (6) |
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77 | (3) |
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80 | (5) |
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85 | (16) |
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90 | (3) |
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93 | (1) |
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Tools for Chapter 2: Quadratic Equations |
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94 | (7) |
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101 | (42) |
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Introduction to the Family of Exponential Functions |
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102 | (8) |
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Comparing Exponential and Linear Functions |
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110 | (8) |
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Graphs of Exponential Functions |
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118 | (7) |
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Continuous Growth and the Number e |
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125 | (18) |
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132 | (5) |
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137 | (2) |
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Tools for Chapter 3: Exponents |
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139 | (4) |
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143 | (38) |
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Logarithms and their Properties |
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144 | (7) |
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Logarithms and Exponential Models |
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151 | (8) |
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159 | (7) |
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166 | (15) |
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176 | (3) |
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179 | (2) |
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Transformations of Functions and their Graphs |
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181 | (50) |
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Vertical and Horizontal Shifts |
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182 | (9) |
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191 | (8) |
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Vertical Stretches and Compressions |
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199 | (8) |
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Horizontal Stretches and Compressions |
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207 | (6) |
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The Family of Quadratic Functions |
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213 | (18) |
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221 | (4) |
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225 | (2) |
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Tools for Chapter 5: Completing the Square |
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227 | (4) |
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231 | (64) |
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Introduction to Periodic Functions |
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232 | (6) |
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The Sine and Cosine Functions |
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238 | (8) |
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246 | (6) |
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Graphs of the Sine and Cosine |
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252 | (6) |
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258 | (9) |
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Other Trigonometric Functions |
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267 | (6) |
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Inverse Trigonometric Functions |
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273 | (22) |
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282 | (3) |
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285 | (3) |
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Tools for Chapter 6: Right Triangles |
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288 | (7) |
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295 | (46) |
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General Triangles: Laws of Sines and Cosines |
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296 | (6) |
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302 | (7) |
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Sum and Difference Formulas for Sine and Cosine |
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309 | (7) |
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316 | (9) |
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325 | (5) |
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Complex Numbers and Polar Coordinates |
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330 | (11) |
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337 | (2) |
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339 | (2) |
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Compositions, Inverses, and Combinations of Functions |
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341 | (34) |
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342 | (8) |
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350 | (11) |
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Combinations of Functions |
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361 | (14) |
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370 | (3) |
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373 | (2) |
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Polynomial and Rational Functions |
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375 | (60) |
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376 | (8) |
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384 | (5) |
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The Short-run Behavior of Polynomials |
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389 | (7) |
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396 | (6) |
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The Short-run Behavior of Rational Functions |
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402 | (8) |
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Comparing Power, Exponential, and Log Functions |
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410 | (6) |
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Fitting Exponentials and Polynomials to Data |
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416 | (19) |
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423 | (5) |
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428 | (2) |
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Tools for Chapter 9: Algebraic Fractions |
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430 | (5) |
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435 | (40) |
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436 | (8) |
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The Components of a Vector |
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444 | (5) |
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449 | (7) |
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456 | (6) |
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462 | (13) |
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471 | (3) |
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474 | (1) |
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475 | (28) |
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476 | (5) |
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Defining Functions Using Sums: Arithmetic Series |
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481 | (7) |
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488 | (5) |
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Infinite Geometric Series |
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493 | (10) |
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499 | (2) |
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501 | (2) |
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Parametric Equations and Conic Sections |
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503 | (30) |
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504 | (10) |
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Implicitly Defined Curves and Circles |
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514 | (4) |
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518 | (4) |
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522 | (4) |
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526 | (7) |
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530 | (1) |
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531 | (2) |
| Answers to Odd-Numbered Problems |
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533 | (28) |
| Index |
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561 | |