# MATH 117: Precalculus I

Course Details
Credit Hours: 3
Prerequisites: MATH 100 with a grade of C- or higher, or Math Placement Assessment.
Description:  The study of functions, their graphs, and their basic properties. Emphasis is placed on polynomial functions, including linear and quadratic functions. Computing real and complex roots of polynomials is explored. Additional topics include: the study of rational functions, absolute value functions, and inverse functions; and solutions of systems of equations.

Functions Modeling Change (6th ed.) by Connally, Hughes-Hallett, Gleason, et al.

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

Abbreviations:

S=Skills Review, E=Exercises, GTP=Go Tutorial, AQ=Additional Questions, RE=Review Exercises, CTQ=ConceptTest Question

Chapter 1: Linear Functions and Change

1.1 Functions and Function Notation
S: 5, 8
E: 1, 5, 7, 9. 10, 13, 14, 17, 23, 29, 33, 35, 36, 38, 46, 50b

1.2 Rates of Change
S: 4, 9
E: 8, 13, 14, 18, 22, 32, 35a, 37ab

1.3 Linear Functions
S: 1, 3, 6, 14
E: 2, 6, 8, 10, 13, 17, 18, 28, Chapter 1 RE16, Chapter 1 RE 37,

Chapter 1 RE 36ab, GTP 29

1.4 Formulas for Linear Functions
S: 4, 9
E: 3, 6, 8, 12, 15, 29, 32, 33, 39, 40, 44, 47, 50ab, 55, 58ab, 59, 65,

GTP 60

1.5 Graphs and Models with Linear Functions and Inequalities
S: 1, 5
E: 1, 3, 7, 9, 14, 17, 22, 23, 25, 36

1.6 Fitting Linear Functions to Data (optional)
E: 2, 5, 7, 9, 11

Chapter 2: Functions

2.1 Input and Output
S: 5, 14
E: 2, 4, 9, 10, 11, 14, 18, 22, 23, 29, 33, 49

2.2 Domain and Range
S: 2, 11
E: 1, 6, 7, 13, 15, 24, 26, 29, 36, GTP 15

2.3 Piecewise-Defined functions
S: 5, 12
E: 3, 4, 6, 9, 13, 15, 20, 22, 25abc, 26, 28, 31

2.4 Preview of Transformations: Shifts
E: 1, 7, 8, 9, 11, 13, 14, 16, 21, 26

2.5 Preview of Composite and Inverse Functions
S: 3, 8, 10
E: 1, 2, 7, 8, 12, 18, 23, 25, 29, 32, 33, 35, 37, 44, 46, 54, 67, 72,
75, 82, GTP 70, GTP 83

2.6 Concavity
E: 1, 3, 4, 7, 8, 10, 12, 17, 18, 27, 28, 32, 33, 35, 36, 39

3.1 Introduction to the Family of Quadratic Functions
S: 1, 10, 17
E: 3, 5, 9, 12, 13, 14, 24, 26, 29, 30, 32, 35, 37, 42ab

3.2 The Vertex of a Parabola
S: 3, 8
E: GTP 13, 3, 9, 10, 13, 28, 29, 31, 39, 40

Chapter 6: Transformations and Their Graphs

(Skip any problems in this chapter using exponential or logarithmic functions.)

6.1 Shifts, Reflections, and Symmetry
S: 9
E: 3, AQ 5, GTP 7, 8, 14, 15, 16, 21, 22, 23, 24, 25, 27, 32, 38a, 44

6.2 Vertical Stretches and Compressions
S: 2, 3
E: 1, 2, 4, 7acf, 13, 16, 19, 22, 25, 27, 28, 29, 35, 36, 37, 39

6.3 Horizontal Stretches and Combinations of Transformations
S: 6, 16
E: 1, 2, 8, 10, 14, 15ab, GTP 15c, 17, 20, 25, 29, 30, 31, 32, 33, 34,

35, 36, 42, 45, 48, 52 (multipart version in WileyPlus), 55, 56

Chapter 11: Polynomial and Rational Functions

11.1 Power Functions and Proportionality
S: 3, 5, 12
E: 1, 5, 8, 9, 10, 11, 12, 14, 15, 18, 22, 23, 26, 32, 37, 42

11.2 Polynomial Functions and Their Behavior
E: 4, 6, 7, 11, 20, CTQ 3, 21, GTP 26, 33, 34, 35, 36, 38, 40, 41,

GTP 43, 44

11.3 Zeros of Polynomials and Short-Run Behavior
E: AQ 1, 3, 6, 17, GTP 19, 21, 23, 31, 34, 36, 41, 47,

Chapter 11 RE 63

11.4 Rational Functions
S: 3, 9, 13
E: 3, 9, 11, 13, 14, 15, 16, 19, 23, 24, 25, 26, GTP 27, 29, 31a

11.5 The Short-Run Behavior of Rational Functions
E: 2, 5, 8, 9, 11, 12, 14, 17, 20, 26, 27, 37, 39, 46, 51, 52, CTQ 7

Math 117 Common Final Study Materials

The Math 117 common final exam is scheduled for Wednesday, December 13, 2023, 7:00 pm – 9:00 pm. Calculators will be permitted on the exam, however devices with a CAS (computer algeabra system) will not be permitted during the exam. We provide sample exams and study materials here from previous academic years. We plan for the Spring 2023 final exam to be administered in person on the Loyola campus.

We provide three pdf files:

See Course Page for additional resources.