{"product_id":"explorations-in-college-algebra-isbn-9781119392972","title":"Explorations in College Algebra","description":"\u003ci\u003eExplorations in College Algebra\u003c\/i\u003e's overarching goal is to reshape the College Algebra course to make it more relevant and accessible to all students. This is achieved by shifting the focus from learning a set of discrete mechanical rules to exploring how algebra is used in social and physical sciences and the world around you. By connecting mathematics to real-life situations, students come to appreciate its power and beauty. \u003cp\u003e\u003cb\u003e1 An Introduction to Data and Functions 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Describing Single-Variable Data 1\u003c\/p\u003e \u003cp\u003e1.2 Describing Relationships Between Two Variables 9\u003c\/p\u003e \u003cp\u003e1.3 An Introduction to Functions 18\u003c\/p\u003e \u003cp\u003e1.4 The Language of Functions 24\u003c\/p\u003e \u003cp\u003e1.5 Visualizing Functions 34\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Rates of Change and Linear Functions 53\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Average Rates of Change 53\u003c\/p\u003e \u003cp\u003e2.2 Change in the Average Rate of Change 59\u003c\/p\u003e \u003cp\u003e2.3 The Average Rate of Change Is a Slope 64\u003c\/p\u003e \u003cp\u003e2.4 Putting a Slant on Data 69\u003c\/p\u003e \u003cp\u003e2.5 Linear Functions: When Rates of Change Are Constant 75\u003c\/p\u003e \u003cp\u003e2.6 Visualizing Linear Functions 81\u003c\/p\u003e \u003cp\u003e2.7 Constructing Graphs and Equations of Linear Functions 87\u003c\/p\u003e \u003cp\u003e2.8 Special Cases 94\u003c\/p\u003e \u003cp\u003e2.9 Breaking the Line: Piecewise Linear Functions 104\u003c\/p\u003e \u003cp\u003e2.10 Constructing Linear Models of Data 111\u003c\/p\u003e \u003cp\u003e2.11 Looking for Links Between Education and Earnings: A Case Study on Using Regression Lines 120\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 When Lines Meet: Linear Systems 141\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Interpreting Intersection Points: Linear and Nonlinear Systems 141\u003c\/p\u003e \u003cp\u003e3.2 Visualizing and Solving Linear Systems 151\u003c\/p\u003e \u003cp\u003e3.3 Reading Between the Lines: Linear Inequalities 161\u003c\/p\u003e \u003cp\u003e3.4 Systems with Piecewise Linear Functions: Tax Plans 171\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 The Laws of Exponents and Logarithms: Measuring the Universe 185\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The Numbers of Science: Measuring Time and Space 185\u003c\/p\u003e \u003cp\u003e4.2 Positive Integer Exponents 192\u003c\/p\u003e \u003cp\u003e4.3 Zero, Negative, and Fractional Exponents 200\u003c\/p\u003e \u003cp\u003e4.4 Converting Units 210\u003c\/p\u003e \u003cp\u003e4.5 Orders of Magnitude 214\u003c\/p\u003e \u003cp\u003e4.6 Logarithms as Numbers 218\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Growth and Decay: An Introduction to Exponential Functions 231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Exponential Growth 231\u003c\/p\u003e \u003cp\u003e5.2 Exponential Decay 239\u003c\/p\u003e \u003cp\u003e5.3 Comparing Linear and Exponential Functions 245\u003c\/p\u003e \u003cp\u003e5.4 Visualizing Exponential Functions 253\u003c\/p\u003e \u003cp\u003e5.5 Exponential Functions: A Constant Percent Change 259\u003c\/p\u003e \u003cp\u003e5.6 More Examples of Exponential Growth and Decay 267\u003c\/p\u003e \u003cp\u003e5.7 Compound Interest and the Number \u003ci\u003ee\u003c\/i\u003e 283\u003c\/p\u003e \u003cp\u003e5.8 Semi-Log Plots of Exponential Functions 293\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Logarithmic Links: Logarithmic and Exponential Functions 305\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Using Logarithms to Solve Exponential Equations 305\u003c\/p\u003e \u003cp\u003e6.2 Using Natural Logarithms to Solve Exponential Equations Base \u003ci\u003ee\u003c\/i\u003e 315\u003c\/p\u003e \u003cp\u003e6.3 Visualizing and Applying Logarithmic Functions 324\u003c\/p\u003e \u003cp\u003e6.4 Using Semi-Log Plots to Construct Exponential Models for Data 334\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Power Functions 345\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 The Tension between Surface Area and Volume 345\u003c\/p\u003e \u003cp\u003e7.2 Direct Proportionality: Power Functions with Positive Powers 350\u003c\/p\u003e \u003cp\u003e7.3 Visualizing Positive Integer Power Functions 358\u003c\/p\u003e \u003cp\u003e7.4 Comparing Power and Exponential Functions 365\u003c\/p\u003e \u003cp\u003e7.5 Inverse Proportionality: Power Functions with Negative Powers 369\u003c\/p\u003e \u003cp\u003e7.6 Visualizing Negative Integer Power Functions 380\u003c\/p\u003e \u003cp\u003e7.7 Using Logarithmic Scales to Find the Best Functional Model 389\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Quadratics and the Mathematics of Motion 409\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 An Introduction to Quadratic Functions: The Standard Form 409\u003c\/p\u003e \u003cp\u003e8.2 Visualizing Quadratics: The Vertex Form 418\u003c\/p\u003e \u003cp\u003e8.3 The Standard Form vs. the Vertex Form 426\u003c\/p\u003e \u003cp\u003e8.4 Finding the Horizontal Intercepts: The Factored Form 435\u003c\/p\u003e \u003cp\u003e8.5 The Average Rate of Change of a Quadratic Function 448\u003c\/p\u003e \u003cp\u003e8.6 The Mathematics of Motion 453\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 New Functions from Old 473\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Transformations 473\u003c\/p\u003e \u003cp\u003e9.2 The Algebra of Functions 485\u003c\/p\u003e \u003cp\u003e9.3 Polynomials: The Sum of Power Functions 492\u003c\/p\u003e \u003cp\u003e9.4 Rational Functions: The Quotient of Polynomials 505\u003c\/p\u003e \u003cp\u003e9.5 Composition and Inverse Functions 514\u003c\/p\u003e \u003cp\u003e9.6 Exploring, Extending \u0026amp; Expanding 528\u003c\/p\u003e \u003cp\u003eANSWERS For all Algebra Aerobics and Check Your Understanding problems; for odd numbered problems in the Exercises and Chapter Reviews. \u003cbr\u003eAll answers are grouped by chapter. ANS-1\u003c\/p\u003e \u003cp\u003eIndex I-1\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989187281125,"sku":"NP9781119392972","price":111.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119392972.jpg?v=1761783137","url":"https:\/\/k12savings.com\/es\/products\/explorations-in-college-algebra-isbn-9781119392972","provider":"K12savings","version":"1.0","type":"link"}