# MATH 117

Functions Modeling Change: A Preparation for Calculus, 5th Edition, Eric Connally, Deborah Hughes-Hallett, Andrew M. Gleason packaged with WileyPlus.

Chapter 1: Linear Functions and Change

1.1 Functions and Function Notation
1.2 Rates of Change
1.3 Linear Functions
1.4 Formulas for Linear Functions
1.5 Modeling with Linear Functions
1.6 Fitting linear functions to data

Chapter 2: Functions

2.1 Input and Output
2.2 Domain and Range
2.3 Piecewise-defined functions
2.4 Preview of Transformations: Shifts
2.5 Preview of Composite and Inverse Functions
2.6 Concavity

3.1 Introduction to the Family of Quadratic Functions
3.2 The vertex of a Parabola

Chapter 6: Transformations and their graphs

6.1 Shifts, reflections, and symmetry
6.2 Vertical stretches and compressions
6.3 Horizontal stretches and combinations of transformations

Chapter 11: Polynomial and Rational Functions

11.1 Power functions and proportionality
11.2 Polynomial functions
11.3 The short-run behavior of polynomials
11.4 Rational functions
11.5 The short-run behavior of rational functions

Below are “core problems” that we expect students to be able to solve to ensure understanding of the material in the course syllabus. The WebAssign core homework problems are taken from Precalculus (3rd ed.) by Carl Stitz and Jeff Zeager.

Chapter 1. Relations and Functions
1.1 2, 10, 21, 25, 27, 28, 30, 32, 34, 38
1.2 4, 7, 10, 11, 16, 18, 20, 27, 28, 30, 31, 32, 43, 46, 49
1.3 2, 3, 4, 7, 8, 11, 12, 16, 18, 20, 22, 24, 37, 39, 40
1.4 8, 10, 14, 16, 35, 43, 49, 52, 58
1.5 5, 18, 22, 24, 31, 32, 45
1.6 9, 12, 17, 18, 20, 26, 28, 29, 46, 47, 53, 58, 59, 60, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73 75, (58-60, 62-73 contained in problem 502.XP)
1.7 29, 30, 31, 32, 33, 34, 35, 36, 37, 39, 40, 41, 44, 50, 51, 52, 53, (and CYM.001)
Chapter 2. Linear and Quadratic Functions
2.1 6, 8, 9, 11, 12, 29, 32, 35, 37, 38, 46, 48, 52, 60, 66
2.2 8, 9, 12, 16, 22, 26, 27, 29, 33
2.3 2, 3, 6, 8, 22, 23, 24, 25
2.4 1, 2, 8, 9, 11, 38, 45, 47, 49
Chapter 3. Polynomial Functions
3.1 3, 7, 8, 15, 16, 17, 22, 23, 27, 33
3.2 3, 4, 31, 32, 33, 37, 40, 46
3.3

11, 12, 13, 14, 18, 19, 22, 32

3.4 11, 15, 16, 19, 27, 28, 30, 31, 33, 34, 42
Chapter 4. Rational Functions
4.1 2, 3, 5, 6, 9, 19
4.2 1, 2, 3, 4, 5, 6, 7, 8, 9, 13
Chapter 5. Further Topics in Functions
5.1 25, 30, 33, 38, 42, 44, 45, 46, 47, 54, 62, 63
5.2 1, 4, 5, 11, 14, 17, 22, 24, 27
5.3 (Optional) 1, 6, 7, 12, 14, 17, 21, 26, 43
Chapter 7. Hooked on Conics
7.2 2, 6, 7, 9, 10, 14, 15, 17
Chapter 8. Systems of Equations and Matrices
8.1 9, 10, 11, 12, 14, 16, 20
8.7 1, 2, 6, 7, 8, 9, 10, 15, 16, 17

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