- Chapter 1: LINEAR FUNCTIONS AND CHANGE
- Chapter 1-1: FUNCTIONS AND FUNCTION NOTATION
- Chapter 1-2: RATE OF CHANGE
- Chapter 1-3: LINEAR FUNCTIONS
- Chapter 1-4: FORMULAS FOR LINEAR FUNCTIONS
- Chapter 1-5: GEOMETRIC PROPERTIES OF LINEAR FUNCTIONS
- Chapter 1-6: FITTING LINEAR FUNCTIONS TO DATA
- Chapter 10: COMPOSITIONS, INVERSES, AND COMBINATIONS OF FUNCTIONS
- Chapter 10-1: COMPOSITION OF FUNCTIONS
- Chapter 10-2: INVERTIBILITY AND PROPERTIES OF INVERSE FUNCTIONS
- Chapter 10-3: COMBINATIONS OF FUNCTIONS
- Chapter 11: POLYNOMIAL AND RATIONAL FUNCTIONS
- Chapter 11-1: POWER FUNCTIONS
- Chapter 11-2: POLYNOMIAL FUNCTIONS
- Chapter 11-3: THE SHORT-RUN BEHAVIOR OF POLYNOMIALS
- Chapter 11-4: RATIONAL FUNCTIONS
- Chapter 11-5: THE SHORT-RUN BEHAVIOR OF RATIONAL FUNCTIONS
- Chapter 11-6: COMPARING POWER, EXPONENTIAL, AND LOG FUNCTIONS
- Chapter 11-7: FITTING EXPONENTIALS AND POLYNOMIALS TO DATA
- Chapter 12: VECTORS AND MATRICES
- Chapter 12-1: VECTORS
- Chapter 12-2: THE COMPONENTS OF A VECTOR
- Chapter 12-3: APPLICATION OF VECTORS
- Chapter 12-4: THE DOT PRODUCT
- Chapter 12-5: MATRICES
- Chapter 13: SEQUENCES AND SERIES
- Chapter 13-1: SEQUENCES
- Chapter 13-2: DEFINING FUNCTIONS USING SUMS: ARITHMETIC SERIES
- Chapter 13-3: FINITE GEOMETRIC SERIES
- Chapter 13-4: INFINITE GEOMETRIC SERIES
- Chapter 14: PARAMETRIC EQUATIONS AND CONIC SECTIONS
- Chapter 14-1: PARAMETRIC EQUATIONS
- Chapter 14-2: IMPLICITLY DEFINED CURVES AND CIRCLES
- Chapter 14-3: ELLIPSES
- Chapter 14-4: HYPERBOLAS
- Chapter 14-5: GEOMETRIC PROPERTIES OF CONIC SECTIONS
- Chapter 14-6: HYPERBOLIC FUNCTIONS
- Chapter 2: FUNCTIONS
- Chapter 2-1: INPUT AND OUTPUT
- Chapter 2-2: DOMAIN AND RANGE
- Chapter 2-3: PIECEWISE-DEFINED FUNCTIONS
- Chapter 2-4: COMPOSITE AND INVERSE FUNCTIONS
- Chapter 2-5: CONCAVITY
- Chapter 3: QUADRATIC FUNCTIONS
- Chapter 3-1: INTRODUCTION TO THE FAMILY OF QUADRATIC FUNCTIONS
- Chapter 3-2: THE VERTEX OF A PARABOLA
- Chapter 4: EXPONENTIAL FUNCTIONS
- Chapter 4-1: INTRODUCTION TO THE FAMILY OF EXPONENTIAL FUNCTIONS
- Chapter 4-2: COMPARING EXPONENTIAL AND LINEAR FUNCTIONS
- Chapter 4-3: GRAPHS OF EXPONENTIAL FUNCTIONS
- Chapter 4-4: APPLICATIONS TO COMPOUND INTEREST
- Chapter 4-5: THE NUMBER e
- Chapter 5: LOGARITHMIC FUNCTIONS
- Chapter 5-1: LOGARITHMS AND THEIR PROPERTIES
- Chapter 5-2: LOGARITHMS AND EXPONENTIAL MODELS
- Chapter 5-3: THE LOGARITHMIC FUNCTION
- Chapter 5-4: LOGARITHMIC SCALES
- Chapter 6: TRANSFORMATIONS OF FUNCTIONS AND THEIR GRAPHS
- Chapter 6-1: VERTICAL AND HORIZONTAL SHIFTS
- Chapter 6-2: REFLECTIONS AND SYMMETRY
- Chapter 6-3: VERTICAL STRETCHES AND COMPRESSIONS
- Chapter 6-4: HORIZONTAL STRETCHES AND COMPRESSIONS
- Chapter 6-5: COMBINING TRANSFORMATIONS
- Chapter 7: TRIGONOMETRY IN CIRCLES AND TRIANGLES
- Chapter 7-1: INTRODUCTION TO PERIODIC FUNCTIONS
- Chapter 7-2: THE SINE AND COSINE FUNCTIONS
- Chapter 7-3: GRAPHS OF SINE AND COSINE
- Chapter 7-4: THE TANGENT FUNCTION
- Chapter 7-5: RIGHT TRIANGLES: INVERSE TRIGONOMETRIC FUNCTIONS
- Chapter 7-6: NON-RIGHT TRIANGLES
- Chapter 8: THE TRIGONOMETRIC FUNCTIONS
- Chapter 8-1: RADIANS AND ARC LENGTH
- Chapter 8-2: SINUSOIDAL FUNCTIONS AND THEIR GRAPHS
- Chapter 8-3: TRIGONOMETRIC FUNCTIONS: RELATIONSHIPS AND GRAPHS
- Chapter 8-4: TRIGONOMETRIC EQUATIONS AND INVERSE FUNCTIONS
- Chapter 8-5: POLAR COORDINATES
- Chapter 8-6: COMPLEX NUMBERS AND POLAR COORDINATES
- Chapter 9: TRIGONOMETRIC IDENTITIES AND THEIR APPLICATIONS
- Chapter 9-1: IDENTITIES, EXPRESSIONS, AND EQUATIONS
- Chapter 9-2: SUM AND DIFFERENCE FORMULAS FOR SINE AND COSINE
- Chapter 9-3: TRIGONOMETRIC MODELS
Functions Modeling Change: A Preparation for Calculus 4th Edition - Solutions by Chapter
Full solutions for Functions Modeling Change: A Preparation for Calculus | 4th Edition
Functions Modeling Change: A Preparation for Calculus | 4th Edition - Solutions by ChapterGet Full Solutions
An interval that has finite length (does not extend to ? or -?)
Coefficient of determination
The number r2 or R2 that measures how well a regression curve fits the data
p = g(x), where x represents demand and p represents price
A variable that affects a response variable.
See Ellipse, Hyperbola, Parabola.
Future value of an annuity
The net amount of money returned from an annuity.
y = b.
The domain of a function’s algebraic expression.
See Mathematical induction.
Inverse composition rule
The composition of a one-toone function with its inverse results in the identity function.
Power rule of logarithms
logb Rc = c logb R, R 7 0.
An angle in standard position whose terminal side lies on an axis.
The distance from a point on a circle (or a sphere) to the center of the circle (or the sphere).
A triangle with a 90° angle.
A positive number written as c x 10m, where 1 ? c < 10 and m is an integer.
Sum of a finite arithmetic series
Sn = na a1 + a2 2 b = n 2 32a1 + 1n - 12d4,
The line segment whose endpoints are the vertices of a hyperbola.
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.
The directed distance from the x-axis xz-plane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.