Math 140: Unit 3

Target Date: Wednesday Sept. 23
Deadline: Wednesday Oct. 14

Note: The information on this page is for the 8th edition of the textbook.
Click here for the 7th edition information.
Click here for the 6th edition information.

Table of Contents:

Topics
Study Guidelines
Unit Pretest and Exam Description
Checklist

Topics

In Unit 3, you will study inequalities and functions.

• Inequalities (A.9)
  • Use Interval Notation
  • Use Properties of Inequalities
  • Solve Inequalities
  • Solve Combined Inequalities
  • Solve Inequalities Involving Absolute Value
• Functions (2.1)
  • Determine Whether a Relation Represents a Function
  • Find the Value of a Function
  • Find the Domain of a Function
  • Form the Sum, Difference, Product, and Quotient of Two Functions
• The Graph of a Function (2.2)
  • Identify the Graph of a Function
  • Obtain Information from or about the Graph of a Function
• Properties of Functions (2.3)
  • Determine Even and Odd Functions from a Graph
  • Identify Even and Odd Functions from the Equation
  • Use a Graph to Determine Where a Function is Increasing, or is Decreasing , or is Constant
  • Use a Graph to Locate Local Maxima and Minima
  • Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine where a Function is Increasing or Decreasing
  • Find the Average Rate of Change of a Function
• Library of Functions; Piecewise-Defined Functions (2.4)
  • Graph the Functions Listed in the Library of Functions
  • Graph Piecewise-defined Functions.
• Linear Functions and their Properties (3.1)
  • Graph Linear Functions
  • Use Average Rate of Change to Identify Linear Functions
  • Determine whether a Linear Function is Increasing, Decreasing, or Constant

Study Guidelines for the 8th edition of Sullivan's Precalculus

These reading and problem assignments are designed to help you learn the course material. You should complete all of these problems, check your answers in the back of the textbook, and get help with the problems that you missed. Most of the problems are odd-numbered, so you can check the solutions in the Solutions Manual.

The only way to learn mathematics is to do mathematics, so while these problems will not be collected or graded, you will probably not do well in the course if you do not complete these and check your work as described above. After completing these problems, go on to the Unit Exam Description below and follow directions.

• Appendix A.9: Inequalities
  • Reading: appendix section A.9
    Read and work through examples 1-10 and their matched problems.
  • Practice Problems: A.8 #1-4, 11-16, 19, 21, 25, 27, 29, 33, 35, 37, 39-51 odds, 55, 59, 65, 69, 73, 77, 83, 85, 87, 89, 95, 97, 101, 103, 111, 117
    
    
• Section 2.1: Functions
  • Reading: section 2.1, pages 48-56
    Read and work through examples 1-9 and their matched problems.
    You may read the "Form the Sum, Difference, Product, and Quotient of Two Functions" section now, but we will return to that topic and you will be tested on that material in Unit 4.
  • Practice Problems: 2.1 #1-4, 15, 17, 21, 23, 29, 31, 33, 35, 41, 43, 47, 51, 55, 57, 73, 75, 81, 85, 89, 93
    
    
• Section 2.2: The Graph of a Function
  • Reading: section 2.2
    Read and work through examples 1-4 and their matched problems.
  • Practice Problems: 2.2 #1, 2, 9, 13, 15, 19, 25, 31, 39
    
    
• Section 2.3: Properties of Functions
  • Reading: section 2.3
    Read and work through examples 1-7 and their matched problems.
  • Practice Problems: 2.3 #1-5, 11-19 odds, 21, 25, 27, 29, 31, 33, 35, 39, 43, 45, 53, 59, 61
    
    
• Section 2.4: Library of Functions; Piecewise-Defined Functions
  • Reading: section 2.4
    Read and work through examples 1-4 and their matched problems.
  • Practice Problems: 2.4 #1-3, 9-16, 19, 21, 23, 25, 29, 31, 37, 41, 43, 45, 47, 49, 51
    
    
• Section 3.1: Linear Functions and their Properties
  • Reading: section 3.1, pages 118-121
    Read and work through examples 1-3 and their matched problems.
    You may read the "Work with Applications of Linear Functions" section now, but we will return to that topic and you will be tested on that material in Unit 4.
  • Practice Problems: 3.1 #1-6, 13-27 odds
    
    
• Supplementary material (optional):
  • Student Solutions Manual
  • Algebra Review booklet
  • CD lecture series (step-by-step video examples on CD)
  • For tutoring help, visit the Prentice Hall Tutor Center. Tutors can be contacted by phone, fax, or e-mail. To register, you will need the access code that came with your textbook.
  • Graphing Calculator Help

Unit 3 Pretest and Exam Description

After completing the above work, do the following:

1. Read the exam description:
   • This exam has 15 questions, and will count 15 points toward your grade. 
   • The exam has a one hour time limit.
   • You may use a calculator on this exam.
   • All of your answers in the Unit 3 Exam must be exact. 
   • Be sure to look under the entry box for the expected format of the answer.
     • Some problems expect an ordered pair, such as (3,5).
     • Inequality problems usually have an interval (A,B) for the solution. In this case, use I for the symbol and -I for , if necessary. For example, your answer might be (4,I) or (-I,2).
     • The solution to some inequality problems may include more than one interval (A,B). In this case, separate the intervals with a semicolon. For example, your answer might be (-I,2);(4,I).
     • Some problems ask you to solve an equation. If the equation has more than one solution, separate the solutions with a semicolon. For example, your answer might be 3;5.
2. Complete the online Unit 3 Pretest assignment. You may use your book and notes if you wish.
   • Directions: Click on the link above, then choose the Unit 3 Pretest.
   • The pretest must be completed by the deadline date listed at the top of this page.
     However, you may redo the pretest as many times as you like before the due date.
     Your best score counts, and it will be rescaled to 5 points maximum.
3. If you are having trouble with any of the problems listed above or on the pretest, make use of the help resources listed on the Help page.
4. Arrange with your proctor to take the online proctored Unit 3 Exam. Remember to bring identification, and remember that you will not be able to take the unit exam after the deadline date given at the top of this page. You may NOT use your book or notes on this exam.
   • Directions: Click on the link above, then choose Unit 3 Exam.
   • The proctored unit exam must be completed by the deadline date listed at the top of this page, and may be repeated under certain conditions. See the Detailed Schedule page for specific rules.

   Note: Remember that you can always go back and take practice exams on this unit after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

   • Directions: Click on the link above, then choose Unit 3 Practice Exam. After the deadline has passed, this exam will be available in practice mode.

Unit 3 Checklist

To finish Unit 3, make sure that you have completed the following items:

• Read the material listed in the Study Guidelines.
• Practice the problems listed in the Study Guidelines, and use any of the listed supplementary material to help you understand the concepts.
• Complete the online Unit Pretest (read the exam description first).
• Complete the online proctored Unit Exam.

back to the self-paced Math 140 home page