NOTE: Before purchasing, check with your instructor to ensure you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, and registrations are not transferable. To register for and use Pearson's MyLab & Mastering products, you may also need a Course ID, which your instructor will provide. Used books, rentals, and purchases made outside of Pearson If purchasing or renting from companies other than Pearson, the access codes for Pearson's MyLab & Mastering products may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase. This course is a credit-bearing course in Precalculus Math MyMathLab for Reasoning with Functions I is part of a series of MyMathLab courses built to support the New Mathways Project developed by the Charles A. Dana Center. The New Mathways Project embodies the Dana Center’s vision for a systemic approach to improving student success and completion through implementation of processes, strategies, and structures built around three mathematics pathways. Reasoning with Functions I is the first of two college-level courses designed to prepare students to enter calculus and succeed in STEM coursework that requires a thorough knowledge of functions and algebraic reasoning. Students build a strong foundation in functions and their behavior by using multiple representations and explicit covariational reasoning to investigate and explore quantities, their relationships, and how these relationships change. It is designed as a five-contact-hour course, with the Intermediate and College Algebra skills needed to prepare for Reasoning with Functions II.  The MyMathLab course designed for use with Reasoning with Functions I provides: Interactive content to help prepare students for active classroom time In-Class Interactive Lessons to support students through an active classroom experience, accompanied by notebook PDFs Homework assignments designed to assess conceptual understanding of important skills and concepts Additional resources for instructors to help facilitate an interactive and engaging classroom   Built in MyMathLab Content developed by the Charles A. Dana Center at The University of Texas at Austin will be delivered through MyMathLab. MyMathLab is an online homework, tutorial, and assessment program that engages students and improves results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. 

Table of Contents:
Lesson 1: Describing Quantities and Their Relationships 1.A — Talking About Quantities 1.B — Our Learning Community 1.C — Talking About Quantities (Continued) 1.D — Functions 1.E — Functions (Continued)   Lesson 2: Working with Inputs and Outputs 2.A — Independence and Dependence 2.B — Processes 2.C — Domain and Range 2.D — More with Function Notation   Lesson 3: Exploring Linear, Exponential, and Periodic Models 3.A — Linear Population Growth 3.B — Models of Exponential Growth and Decay 3.C — Models With Periodic Functions 3.D — Comparing Linear, Exponential, and Periodic Functions 3.E — Forming Effective Study Groups   Lesson 4: Exploring Logarithmic Models 4.A — Introduction to Piecewise Defined Functions 4.B — Interpreting the Behavior of Logarithmic Functions 4.C — Interpreting the Behavior of Logarithmic Functions (Continued) 4.D — Investigating Other Functions   Lesson 5: Modeling Constant Change 5.A — Linear Functions and Equations 5.B — Linear Functions and Equations (Continued) 5.C — Straight Talk About Lines 5.D — Straight Talk About Lines (Continued)   Lesson 6: Making Predictions with Lines 6.A — Slope and Intercept 6.B — Golfing on the Moon 6.C — Finding Intersections of Lines 6.D — Graphing With Technology   Lesson 7: Modeling with Two Lines 7.A — Solving Systems of Linear Equations Graphically 7.B — Determining the Number of Solutions 7.C — Solving Systems Using Substitution 7.D — Elimination by Addition 7.E — Maximum Heart Rate    Lesson 8: Using Matrices to Find Solutions 8.A — Matrices and Linear Systems 8.B — Row Echelon Form 8.C — Strategies for Solving Linear Systems   Lesson 9: Modeling with Curves 9.A — Quadratic Functions 9.B — Properties of Quadratic Functions 9.C — Unit Cost   Lesson 10: Shifting, Scaling, and Inverting Quadratic Functions 10.A — Transformations of Quadratic Functions 10.B — Composing and Inverting Transformations 10.C — Modeling With Quadratic Functions 10.D — Solving Quadratic Equations 10.E — Rates of Change and Total Change   Lesson 11: Exploring Inverse Relationships 11.A — Reversing a Quadratic Function 11.B — The Inverse of a Linear Function 11.C — The Inverse of a Quadratic Function 11.D — What Is a Meter? 11.E — How Fast?   Lesson 12: Modeling with Power Functions 12.A — Introduction to Power Functions 12.B — Introduction to Power Functions (Continued) 12.C — Illuminance   Lesson 13: Working with Volume and Optimization Models 13.A — Graphing Polynomial Functions 13.B — Building Polynomial Models 13.C — Optimization 13.D — Strategies for Factoring Polynomials   Lesson 14: Interpreting Change in Polynomial Models 14.A — Average Rates of Change 14.B — Average Rates of Change (Continued) 14.C — Modeling with Polynomial Functions 14.D — Modeling with Polynomial Functions (Continued)   Lesson 15: Working with Fractional Exponents 15.A — Fractional Exponents 15.B — Functions With Fractional Exponents 15.C — Graphs of Functions With Fractional Exponents   Lesson 16: Understanding Discontinuities and End Behavior 16.A — Discontinuities of Rational Functions 16.B — End Behavior of Rational Functions   Lesson 17: Exploring Asymptotic Behavior 17.A — Vertical Asymptotes 17.B — Behavior Near Vertical Asymptotes 17.C — Vertical Asymptotes vs. Holes 17.D — Strategies for Understanding Vertical Asymptotes   Lesson 18: Modeling with Rational Functions 18.A — You’re Getting Very Sleepy… 18.B — Reducing Pollution 18.C — Food Costs   Lesson 19: Exploring Graphs of Rational Functions 19.A — Graphing Rational Functions 19.B — Extreme Values of Rational Functions 19.C — Drug Concentration 19.D — Special Relativity   Lesson 20: Understanding Addition and Composition of Rational Functions 20.A — Composition of Rational Functions 20.B — Adding It All Up 20.C — Adding Rational Functions 20.D — Adding Rational Functions (Continued)   Lesson 21: Comparing Graphs of Functions 21.A — Exponential Functions — Revisited 21.B — Other Forms of Exponential Functions 21.C — Comparing Exponential and Linear Functions   Lesson 22: Interpreting Change in Exponential Models 22.A — Half-life and Decay Models 22.B — Doubling Time and Growth Models 22.C — Comparing Exponential Functions   Lesson 23: Exploring Other Exponential Models 23.A — Newton’s Law of Cooling 23.B — Drug Accumulation and Exponential Models 23.C — Surge Functions   Lesson 24: Analyzing Linear Approximations of Exponential Models 24.A — Linear Approximations of Exponential Functions 24.B — Compound Interest   Lesson 25: Exploring Logistic Growth and Oscillation 25.A — The Logistic Function 25.B — Decaying Oscillations 25.C — Decaying Oscillations (Continued) 25.D — Charging and Discharging Capacitors   Lesson 26: Inverting Exponential Functions 26.A — Inverse Exponentials 26.B — Logarithms 26.C — Graphing Logs 26.D — Log Laws 26.E — Logarithmic Scales   Lesson 27: Solving Exponential and Logarithmic Equations 27.A — Savings Bonds 27.B — How Do You Rank? 27.C — Earthquake! 27.D — Extraneous Solutions       Student Resources Overview Arithmetic with Fractions Combining Like Terms Coordinate Plane Dimensional Analysis Distributive Property Exponent Rules Factoring Factoring Polynomials Four Representations of Functions Graphing Technology Interval Notation Lines Order of Operations Roots and Radicals Scientific Notation Slope Solving Quadratic Equations Writing Principles