Explorations in College Algebra
John Wiley & Sons Inc (Verlag)
978-1-119-39297-2 (ISBN)
1 An Introduction to Data and Functions 1
1.1 Describing Single-Variable Data 1
1.2 Describing Relationships Between Two Variables 9
1.3 An Introduction to Functions 18
1.4 The Language of Functions 24
1.5 Visualizing Functions 34
2 Rates of Change and Linear Functions 53
2.1 Average Rates of Change 53
2.2 Change in the Average Rate of Change 59
2.3 The Average Rate of Change Is a Slope 64
2.4 Putting a Slant on Data 69
2.5 Linear Functions: When Rates of Change Are Constant 75
2.6 Visualizing Linear Functions 81
2.7 Constructing Graphs and Equations of Linear Functions 87
2.8 Special Cases 94
2.9 Breaking the Line: Piecewise Linear Functions 104
2.10 Constructing Linear Models of Data 111
2.11 Looking for Links Between Education and Earnings: A Case Study on Using Regression Lines 120
3 When Lines Meet: Linear Systems 141
3.1 Interpreting Intersection Points: Linear and Nonlinear Systems 141
3.2 Visualizing and Solving Linear Systems 151
3.3 Reading Between the Lines: Linear Inequalities 161
3.4 Systems with Piecewise Linear Functions: Tax Plans 171
4 The Laws of Exponents and Logarithms: Measuring the Universe 185
4.1 The Numbers of Science: Measuring Time and Space 185
4.2 Positive Integer Exponents 192
4.3 Zero, Negative, and Fractional Exponents 200
4.4 Converting Units 210
4.5 Orders of Magnitude 214
4.6 Logarithms as Numbers 218
5 Growth and Decay: An Introduction to Exponential Functions 231
5.1 Exponential Growth 231
5.2 Exponential Decay 239
5.3 Comparing Linear and Exponential Functions 245
5.4 Visualizing Exponential Functions 253
5.5 Exponential Functions: A Constant Percent Change 259
5.6 More Examples of Exponential Growth and Decay 267
5.7 Compound Interest and the Number e 283
5.8 Semi-Log Plots of Exponential Functions 293
6 Logarithmic Links: Logarithmic and Exponential Functions 305
6.1 Using Logarithms to Solve Exponential Equations 305
6.2 Using Natural Logarithms to Solve Exponential Equations Base e 315
6.3 Visualizing and Applying Logarithmic Functions 324
6.4 Using Semi-Log Plots to Construct Exponential Models for Data 334
7 Power Functions 345
7.1 The Tension between Surface Area and Volume 345
7.2 Direct Proportionality: Power Functions with Positive Powers 350
7.3 Visualizing Positive Integer Power Functions 358
7.4 Comparing Power and Exponential Functions 365
7.5 Inverse Proportionality: Power Functions with Negative Powers 369
7.6 Visualizing Negative Integer Power Functions 380
7.7 Using Logarithmic Scales to Find the Best Functional Model 389
8 Quadratics and the Mathematics of Motion 409
8.1 An Introduction to Quadratic Functions: The Standard Form 409
8.2 Visualizing Quadratics: The Vertex Form 418
8.3 The Standard Form vs. the Vertex Form 426
8.4 Finding the Horizontal Intercepts: The Factored Form 435
8.5 The Average Rate of Change of a Quadratic Function 448
8.6 The Mathematics of Motion 453
9 New Functions from Old 473
9.1 Transformations 473
9.2 The Algebra of Functions 485
9.3 Polynomials: The Sum of Power Functions 492
9.4 Rational Functions: The Quotient of Polynomials 505
9.5 Composition and Inverse Functions 514
9.6 Exploring, Extending & Expanding 528
ANSWERS For all Algebra Aerobics and Check Your Understanding problems; for odd numbered problems in the Exercises and Chapter Reviews.
All answers are grouped by chapter. ANS-1
Index I-1
| Erscheinungsdatum | 20.11.2017 |
|---|---|
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 211 x 274 mm |
| Gewicht | 1383 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 1-119-39297-7 / 1119392977 |
| ISBN-13 | 978-1-119-39297-2 / 9781119392972 |
| Zustand | Neuware |
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