Loyola University Chicago

Mathematics and Statistics

MATH 117

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 

Chapter 3: Quadratic Functions 

   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:

SR=Skills Review, E&P=Exercises and Problems, GT=Go Tutorial, AQ=Additional Questions, R=Review Exercises, IT=Intelligent Tutoring

Chapter 1: Linear Functions and Change  

1.1 Functions and Function Notation
   SR: 5, 8
   E&P: 1, 5, 7, 9, 10, 13, 14, 17, 21, 22, 23, 24, 25, 26, 29, 32, 33, 35, 42, 46b

1.2 Rates of Change
   SR: 4, 9  
   E&P: 8, 13, 14, 18, 26, 29a, 31ab

1.3 Linear Functions
   SR: 1, 3, 6, 8  
   E&P: 2, 6, 8, 10, 13, 17, 18, 28, R14, R15, R35cd, R36ab, IT27

1.4 Formulas for Linear Functions
   SR: 4, 9  
   E&P: 3, 6, 8, 10, 14, GT18, 27, 30, 36, GT41, 42, 45, 46ab, 49, 52ab, 53, 59

1.5 Modeling with Linear Functions
   SR: 5, 7
   E&P: 1, 3, 5, 8, 15, 16, 18, 23, 28acde, 30, 32, IT19

1.6 Fitting linear functions to data (optional)

   E&P: 2, 5, 7, 9, IT52

Chapter 2: Functions  

2.1 Input and Output

   SR: 4, 8  
   E&P: 2, 4, 9, 10, 11, 14, 18, 20, 23, 26, 30, 44

2.2 Domain and Range

   SR: 2, 7 
   E&P: 1, 6, 7, IT11, 13, 15, 24, 26, 29, 36, 38

2.3 Piecewise-defined functions 

   SR: 5, 8   
   E&P: 3, 4, 6, 9, 13, 15, 20, 22, 25abc, 26, 28, 31

2.4 Preview of Transformations: Shifts    

   E&P: IT1, 1, 7, 8, 9, 11, 13, 14, 16, 26

2.5 Preview of Composite and Inverse Functions 

   SR: 6, 10  
   E&P: 1, 4, 7, 8, 12, 15, 17, 24, IT26, R30, R31, 32, 34, 39, 40, 43, 47, 48, 55, GT56, 58  

2.6 Concavity 

   E&P: 1, 3, 4, 7, 8, 10, 12, 13, 14, 16, 18, 19, 22, IT24, 24, 25  

Chapter 3: Quadratic Functions  

3.1 Introduction to the Family of Quadratic Functions 

   SR: 1, 6, 9 
   E&P: 3, 5, 9, 12, 13, 14, 24, 26, 29, 30, 32, 35, 37, 42ab  

3.2 The vertex of a Parabola 

   SR: 3, 8 
   E&P: IT3, 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 

   SR: 8  
   E&P: 3, AQ5, IT7, 8, 12, 14, 15, 16, 21, 22, 23, 24, 25, 27, 32, 38a, 44  

6.2 Vertical stretches and compressions 

   SR: 1, 3
   E&P: 1, 2, 4, GT6, 7acf, 13, 16, 19, 22, 25, 27, 28, 29, 35, 36, 37, 39 

6.3 Horizontal stretches and combinations of transformations 

   SR: 4, 14
   E&P: 1, 2, AQ7, 8, 10, GT12, 14, 15ab, IT15c, 17, 20, 25, 29, 30, 31, 38, 41, 44, 48, 51, 52  

Chapter 11: Polynomial and Rational Functions 

11.1 Power functions and proportionality 

   SR: 3, 5, 10  
   E&P: 1, 5, 8, 9, 10, 11, 12, 14, 15, 18, 22, 23, 26, 32, 35, 39, 43, 46  

11.2 Polynomial functions 

   E&P: IT3, 6, 7, 11, 18, R18, 20, R21, GT26, 33, 34, 35, 36, 38, 40, 41, GT43, 44  

11.3 The short-run behavior of polynomials 

   E&P: AQ1, 3, 6, 13, IT14, 19, 21, 26, 29, 31, R40, 42c, R68

11.4 Rational functions 

   SR: 2, 9
   E&P: AQ1, 3, 9, 11, 13, 14, 15, 16, 19, R29, 23, 24, 25, 26, IT19, 31a, 33

11.5 The short-run behavior of rational functions 

   E&P: 1, 3, IT1, 5, 8, 11, 13, 14, 17, 20, 23, 24, 26, 34, 36, 39, 40, 41

 

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: 

  1. MATH 117 Exam questions from Fall 2021
  2. MATH 117 Exam answers from Fall 2021
  3. MATH 117 Exam questions from Spring 2022
  4. MATH 117 Exam answers from Spring 2022
  5. MATH 117 Exam questions from Fall 2022
  6. MATH 117 Exam answers from Fall 2022
  7. MATH 117 Exam questions from Spring 2023
  8. MATH 117 Exam answers from Spring 2023
  9. MATH 117 Final exam practice problems
  10. MATH 117 Final exam practice solutions

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Loyola Math Club Tutoring

The Loyola Math Club offers free tutoring to students in 100-level MATH courses (and others). 

Click here to see when it is offered this semester.