Math 140: Unit 3

Due Date: Wednesday October 2, 2002

Topics
In Unit 3 you will study inequalities and functions.

• Inequalities (A.8)
  • 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
  • Identify the Graph of a Function
  • Obtain Information from or about the Graph of a Function
• Properties of Functions (2.2)
  • Find the Average Rate of Change of a Function
  • 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
  • Determine Even and Odd Functions from a Graph
  • Identify Even and Odd Functions from the Equation
• Library of Functions; Piecewise-Defined Functions (2.3)
  • Graph the Functions Listed in the Library of Functions
  • Graph Piecewise-defined Functions.

Study guidelines

• Appendix A.8: Inequalities
  • Reading: Appendix A.8
  • Problems: A.8 1-6, 9, 11, 13, 17, 19, 21, 2, 27, 29-37 (odd), 45, 49, 55, 59, 63, 67, 71, 75, 79, 81, 85, 87, 95, 101.
    
    
• Section 2.1: Functions
  • Reading: Chapter 2.1
  • Problems: 2.1 1, 3, 7, 9, 15, 17, 23, 25, 27, 29, 33, 37, 41, 43, 47, 51, 53, 57, 63, 67, 71, 73, 81.
    
    
• Section 2.2: Properties of Functions
  • Reading: Chapter 2.2
  • Problems: 2.2 1-9(odd), 11, 15, 17, 21, 23, 27, 29, 33, 35, 37, 39, 43, 47.
    
    
• Section 2.3: Library of Functions; Piecewise-Defined Functions
  • Reading: Chapter 2.3
  • Problems: 2.3 1-8, 11, 13, 15, 17, 19, 21, 27, 31, 33, 35, 37.
    
    
• Supplementary material (optional) for Appendix A.8 and Chapter 2.1-2.3:
  • Student Solutions Manual for Chapter 2 (see note)
  • Video lectures are available in the Media Reserve room of the ISU library. They are listed under Math 140: Poon.
  • 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
  • The MathPak5 web site contains other resources such as Reading Quizzes and links to other interesting and fun math sites.

Unit Exam #3
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 Unit Exam #3 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 if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled to 5 points maximum.
3. You can repeat the online Unit 3 Pretest assignment without using your book until you feel that you are ready for the unit exam.
4. If you are having trouble with any of the problems listed above or on the pretest or practice exams, spend some time working with the online tutors listed on the Help page.
5. Go to the Math Computer Lab (449 Carver) to take the online proctored unit exam (go to 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.

   Note: Remember that you can always go back and take practice exams (go to Unit 3 Practice Exam) on this unit after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

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