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.   There are 11 multiple choice questions worth 55 points (out of 100). 

Problems 93-147 on pages 175 - 184 in your workbook are decent review problems for this test.  Solutions can be found at: http://math.arizona.edu/~algebra/testreview.html. 

I have also posted the final exam study guide from last year on the class web site.  I strongly recommend practicing questions 62-99 on the guide.  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.  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 “à” 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.