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) = Ab^{t} , 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: