Test 3 Study Guide

    Test 3 covers Section 4.5 and Sections 5.1 through 5.4.  You will be given formulas for compound interest and continuous interest on the test but the formulas will not be labeled.  A sample is here.  There are 12 multiple choice questions worth 72 points (out of 100) and 5 other questions. 

     Problems 93-149 on pages 188 - 197 in your workbook are decent review problems for this test.  Solutions can be found at: http://math.arizona.edu/~algebra. 

     I have also posted the final exam study guide from last year on the class web site.  I strongly recommend questions 62-99 on the guide as practice.  If you need the answers then email me.

DISCLAIMER: You are responsible for all material covered in class or in the book regardless of whether or not it is included on this study guide.

Section 4.5

·         You do NOT need to know the section on Variation.

·         Definitions of Rational Function, vertical/horizontal/slant asymptotes.  "Holes" in the graph.  Know the notation with the arrow “à” (e.g., as xà infinity, f(x) à b is a horizontal asymptote).

·         Know everything in the yellow box on page 287 (finding vert and horiz asymptotes) and the top of page 290 (finding slant asymptotes).

·         Identifying the domain of Rational Functions

·         Solving Rational Equations

·         Examples from 4.5: 9 (describe with "-->” notation), 14, 41, 56

Section 5.1

·         Operations on Functions (yellow box p. 336)

·         Composition of Functions (yellow box p. 339)

·         Examples from 5.1: 7, 18, 28, 34, 50

Section 5.2

·         Understand conceptually what an inverse function is. 

·         “Reverse the order and apply the inverse action at each step.”

·         Outputs and inputs are interchanged for inverse functions.  If f(a)=b then f^-1(b)=a.