Final Exam study guide
- The final exam is comprehensive with an emphasis on Sections
6.1-3 and 7.1.
- This course has had 2 important themes:
- Graphing functions:
- This includes linear, quadratic, polynomial,
rational, exponential and logarithmic functions.
- Sketching a function includes determining features
like domain, range, x-intercepts, y-intercepts, symmetry and
asymptotes (long division).
- You should still remember how to shift, reflect and stretch
functions. (Section 2.4)
- Solving equations:
-
This includes linear, quadratic, polynomial,
exponential and logarithmic equations
- To solve general polynomial equations by factoring
you must know the rational zeros test, long division
and the quadratic formula.
- You have to know the rules and properties of exponents
and logarithms and you need to be able to use them to solve
logarithmic and exponential equations.
- You will definitely have to solve a system of (linear) equations.
- One subject were both themes meet is finding zeros of functions.
- Another one is polynomial long division.
- Make sure you know how to deal with fractions, roots, absolute
values. You should still remember the techniques we studied
in Chapters 1,2.
- You should be familiar with all the terminology we are using,
like increasing, inverse function, composition, expanding, condensing,...
- Do the cumulative tests on pages 251 and 440
to check if you still know how to do things from the earlier chapters.
- I suggest doing as many problems from the chapter reviews
as you can (at least one problem from chapter 6 and/or 7 review
will be on the exam). Work on those that are in sections you know you
had difficulties with or which you simply don't remember anymore.
- Here is a list of problems that is particularly valuable.
If you have done these review problems
already, then picking odd numbered problems from the section itself
is good too.
- Chapter 1 (page 164-167) focus on 5-40, 49-56, 71-80, 101-118, 125-130.
- Chapter 2 (page 244-247) focus on 1-26, 41-46, 51-58, 69-96, 109-112.
- Chapter 3 (page 316-319) focus on 1-4, 7-18, 24-29, 38-43, 48-53, 62-65,
67-80.
- Chapter 4 (page 372-373) focus on 1-8, 13-28, 32-43.
- Chapter 5 (page 434-437) focus on 7-10, 37-46, 53-56, 58-74,
76-91, 96-107.
- Chapter 6 (page 502-503) focus on 1-8, 14-25, 31-36, 43-44.
- Chapter 7 (page 569-570) focus on 1-30.
- If you have the time for it, then doing extra problems
from the book is the way to go in any Math class.
The more you work with the concepts, the "readier" you are going to be.
- Some problems on the exam may throw you off at first.
Make sure that you get a good nights sleep, so that you are fresh,
rested and ready to go!