Precalculus
Semester I Final Exam Review Outline
For each chapter, core topics are listed and sample problems from the chapter review are
identified. Answers to almost all problems are in the back of the book.
Chapter 1: Functions and Their Graphs
 1.1 : Rectangular Coordinates
 1.2 : Graphs of Equations
 1.3 : Linear Equations in Two Variables
 1.4 : Functions (37, 57, 59, 61 / Know Domain and Range)
 1.5 : Analyzing Graphs of Functions (17, 18)
 1.6 : A Library of Parent Functions (31)
 1.7: Transformations of Functions (21, 25, 27, 33, 35)
 1.8 : Combinations of Functions ( 7, 35)
 1.9 : Inverse Functions ( 9, 11, 41, 47)
 1.10: Math Modeling and Variation
Chapter 2: Polynomial and Rational Functions
 2.1 : Quadratic Functions and Models (19, 31:”standard” form should read “transformation” form)
 2.2 : Polynomial Functions of Higher Degree (3, 5, 7, 29, 33, 37, 49)
 2.3 : Polynomial and Synthetic Division (7)
 2.4 : Complex Numbers (37, 77)
 2.5 : Zeros of Polynomial Functions (3, 9, 59, 61, 71)
 2.6: Rational Functions (21, 25)
 Appendix A.6: Linear Inequalities (1, 5, 37)
 2.7: Nonlinear Inequalities (17, 47)
Appendix A.2: Exponents and Radicals
Chapter 3: Exponential and Logarithmic Functions
 3.1 : Exponential Functions and Their Graphs (7, 9, 61, 67)
 3.2 : Logarithmic Functions and Their Graphs (27, 39, 41, 43)
 3.3 : Properties of Logarithms (33, 69, 71)
 3.4: Exponential and Logarithmic Equations (33, 43, 77)
 3.5: Exponential and Logarithmic Models (35c, 37)
Appendix A.5: Solving Equations (79, 155, 157, 159, 183, 195)
Explain how to use the Rational Root Theorem and
Polynomial division to factor a cubic polynomial.
Compare and contrast Winplot and graphing
calculators as we’ve used them in Precalculus.
Describe the properties of the graph of
f(x) = 0.4x(x-3)2(2x+1)5
and explain how the equation gives you this
information.
Think of a career or job (other than teaching math )
and give at least four examples of how math might be
used, with at least two of the examples relating
directly to Precalculus topics or skills.