Math 140: Unit 5

Due Date: Wednesday October 16, 2002

Topics

Unit 5 begins with the quadratic functions and its applications in different problems. We study the vertex, axis of symmetry and maximum or minimum value of a quadratic function. Then we study the general polynomial functions and the graphs of a polynomial funtion under transformations.Finally, we analyse the graphs of rational functions by looking at the domain, intercepts and asymptotes.

• Quadratic Functions and Models (3.1)
  • Graphing a quadratic function using transformations
  • Vertex and axis of symmetry
  • Maximum or minimum value of a quadratic function
  • Quadratic models
• Polynomial functions (3.2)
  • Power functions
  • Graphing a polynomial function using transformations
  • Graphing a polynomial function from its zeros or x intercepts
• Rational Functions (3.3-3.4)
  • Domain, x and y-intercepts
  • Vertical and horizontal asymptotes
  • Oblique asymptotes
  • Graphing

Study guidelines

• Section 3.1: Quadratic Functions and Models
  • Reading: Chater 3.1
  • Problems: 3.1 # 1-8, 11, 15, 19, 23, 27, 3, 35, 39, 43, 47, 49, 50, 53, 55, 57, 59, 61.63,65.
    
    
• Section 3.2: Polynomial functions
  • Reading: Chapter 3.2
  • Problems: 3.2 # 3-10, 15, 17, 19, 23, 25, 27, 29, 31, 33, 37, 43, 53, 61, 63, 69, 71.
    
    
• Section 3.3: Rational functions I
  • Reading: Chapter 3.3
  • Problems: 3.3 # 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 25, 29, 31, 39, 41.
    
    
• Section 3.4: Rational functions II: Analyzing graphs
  • Reading: Chapter 3.4
  • Problems: 3.4 # 1, 5, 11, 23, 27, 31, 37,39, 41.
    
    
• Supplementary material (optional) for Appendix A.7 and Chapter 2:
  • Student Solutions Manual for Chapter 3 (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 #5
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 will need your graphing calculator on this exam. In particular, you will need to know how to use your graphing calculator to find the maximum or minimum of a function (as in many of the questions in section 3.1).
   • Many of the questions on this exam are multiple choice. For the other questions, be sure to look under the entry box for the expected format of the answer.
     • Some questions ask you for the formula of a function. In this case, simply type in the formula, such as x^2-4x. Do not include "f(x)=" in your answer.
     • Some of the questions on this exam ask for an approximation instead of an exact answer. These questions will ask you to give an answer that is "accurate to at least one decimal place" (or possibly two decimals, or three decimals, etc.). In this case, you would have to enter at least one digit after the decimal point. For example, if you calculate your answer to be 1.41421356237, then you could enter 1.4, 1.41, 1.414, 1.4142, etc. When you view your corrected exam, you will see that the "correct" answer is given in the form 1.4142 ? 0.1. The question mark means "plus or minus", so anything within 0.1 of the first number counts as correct.
     • If a question does not ask for an approximation, then your answer must be exact.
2. Complete the online Unit 5 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 5 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 5 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 5 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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