# Functions Modeling Change, Student Solutions Manual: A Preparation for Calculus / Edition 2

ISBN-10: 0471333824

ISBN-13: 9780471333821

Pub. Date: 04/22/2003

Publisher: Wiley

Work more effectively and check solutions as you go along with the text!  This Student Solutions Manual provides complete solutions to selected problems from Connally's Functions Modeling Change, 2nd Edition.  These solutions will help you develop strong problem solving skills.

From the Calculus Consortium based at Harvard

## Overview

Work more effectively and check solutions as you go along with the text!  This Student Solutions Manual provides complete solutions to selected problems from Connally's Functions Modeling Change, 2nd Edition.  These solutions will help you develop strong problem solving skills.

From the Calculus Consortium based at Harvard University, Functions Modeling Change, 2nd Edition prepares readers for the study of calculus, presenting families of functions as models for change.  These materials stress conceptual understanding and multiple ways of representing mathematical ideas.  The focus throughout is on those topics that are essential to the study of calculus and these topics are treated in depth.

## Product Details

ISBN-13:
9780471333821
Publisher:
Wiley
Publication date:
04/22/2003
Edition description:
Older Edition
Pages:
192
Product dimensions:
8.43(w) x 10.53(h) x 0.43(d)

## Related Subjects

1 Functions and Change.
1.1 What is a Function?
1.2 Proportions and Rates.
1.3 Rate of Change.
Review Problems.
2 Linear Functions.
2.1 What Makes a Function Linear?
2.2 Formulas for Linear Functions.
2.3 Geometric Properties of Linear Functions.
2.4 Fitting Linear Functions to Data.
Review Problems.
3 Function Notation.
3.1 Input and Output.
3.2 Changes in Input and Output.
3.3 Domain and Range.
3.4 Piecewise Defined Functions.
Review Problems.
4 Exponential and Logarithmic Functions.
4.1 Introduction to the Family of Exponential Functions.
4.2 Comparing Exponential and Linear Functions.
4.3 Exponential Graphs and Concavity.
4.4 Logarithms and their Properties.
4.5 The Logarithmic Function.
4.6 Logarithms and Exponential Models.
4.7 Continuous Growth and the Number e.
4.8 Compound Interest.
4.9 Logarithmic Scales.
4.10 Fitting Curves to Data.
Review Problems.
5 Transformations of Functions and their Graphs.
5.1 Vertical and Horizontal Shifts.
5.2 Reflections and Symmetry.
5.3 Vertical Stretches and Compressions.
5.4 Horizontal Stretches and Compressions.
5.5 The Family of Quadratic Functions.
Review Problems.
6 Trigonometric Functions.
6.1 Introduction to Periodic Functions.
6.2 The Sine and Cosine Functions.
6.4 Graphs of the Sine and Cosine.
6.5 Sinusoidal Functions.
6.6 Other Trigonometric Functions.
6.7 Inverse Trigonometric Functions.
Review Problems.
7 Trigonometry.
7.1 Right Triangles.
7.2 Non-Right Triangles: Laws of Sines and Cosines.
7.3 Trigonometric Identities.
7.4 Sum and Difference Formulasfor Sine and Cosine.
7.5 Trigonometric Models.
7.6 Polar Coordinates.
Review Problems.
8 Compositions, Inverses, and Combinations of Functions.
8.1 Composition of Functions.
8.2 Inverse Functions.
8.3 Combinations of Functions.
Review Problems.
9 Polynomial and Rational Functions.
9.1 Power Functions.
9.2 Comparing Power, Exponential, and Log Functions.
9.3 Polynomial Functions.
9.4 The Short-Run Behavior of Polynomials.
9.5 Rational Functions.
9.6 The Short-Run Behavior of Rational Functions.
Review Problems.
10 Vectors.
10.1 Vectors.
10.2 The Components of a Vector.
10.3 Application of Vectors.
10.4 The Dot Product.
Review Problems.
11 Other Ways of Defining Functions.
11.1 Defining Functions Using Sums.
11.2 Geometric Series.
11.3 Parametric Equations.
11.4 Implicitly Defined Curves and Conic Sections.
11.5 Complex Numbers and Polar Coordinates.
11.6 Hyperbolic Functions.
Review Problems.
Appendices.
A Exponents.
B Multiplying Algebraic Expressions.
C Factoring Algebraic Expressions.
D Working with Fractions.
E Changing the Form of Expressions.
F Solving Equations.
G Systems of Equations.
H Inequalities.