Your Algebra Homework Can Now Be Easier Than Ever!

Rational Functions

Rational Function

Study Guide for Exam #4

Chapter 7.1-8(~7.6) Rational Functions
Chapter 8.1-5 Exponential and Logarithmic Functions

The exam will be based upon your homework, the material we covered in class, along with
the reading as signments . It will be in class on Monday, November 24, and you will have
75 minutes to complete it. This study guide provides an overview of the material we have
studied.

Chapter 7.1 Introducing Rational Functions
Understand what a rational function is
Know where rational functions are undefined
Find the domain and range
The graph of

Chapter 7.2 Reducing Rational Functions
Reduce and expression to lowest terms
Understand the restrictions on a function

Chapter 7.3 Graphing Rational Functions
Find the zeros of a rational function
Vertical asymptotes (or holes) occur where the function is undefined!
Sketch a rational function without the calculator

Chapter 7.4 Products and Quotients of Rational Functions

Recall the cancellation rule found on page 644
Remember previous material regarding vertical asymptotes and holes

Chapter 7.5 Sums and Differences of Rational Functions
Know how to find the LCM

Chapter 7.7 Solving Rational Equations
Clear the fractions from a rational equation

Chapter 7.8 Applications of Rational Functions
Write and solve an equation that uses a number and its reciprocal
Be able to solve Distance, Speed and Time problems using the equation d = rt
Be able to solve Work problems using the equation W = rt

Chapter 8.1 Exp onents and Roots
Know and use the laws of exponents
Know the domain and range of the square root function
Know the domain and range of the cube root function
Know the domain and range of even and odd root functions

Chapter 8.2 Exponential Functions
Use the exponential function f (t) = Abt , where A is the initial amount, and b > 0,b ≠ 1
Distinguish between exponential growth (b > 1) and decay (0 < b < 1)
Know the properties of an exponential function

Chapter 8.3 Applications of Exponential Functions
Discrete Compound Interest :


Continuous Compound Interest:

Find the future value of an investment

Chapter 8.4 Inverse Functions
De termine if a function is one-to-one. If so, the function passes the Horizontal Line Test
and has an inverse function.
Find the inverse function (both graphically and algebraically )

Chapter 8.5 Logarithmic Functions
Use one of the following exponential or logarithmic formulas to find the other.

Use the following properties:

Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of April 19th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from tutor.com for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:



Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)

ORDER NOW!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com is an authorized reseller
of goods provided by Sofmath
Check out our demo!
 
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
 
 
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805
 

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2018, Algebra-Answer.Com.  All rights reserved.