Chapter Four
Polynomial and Rational functions

HW Lesson 4-1

Pg 274-275 #1-2, 5-20 all
Pg 275-276 #21-24 all, #25-33 odds (use both methods!),                                #41-44, 45-53 odds, #63-67 odds

Finding Zeroes, Degrees, and End Behaviors

Long Division - Practice Now, Will Need for Lesson 4-4

Long Division - More Difficult Example

Synthetic Division - Great When You Have Linear Factors

Synthetic Division and Remainder Theorem

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HW lesson 4-2

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Note to instructor: 4-2 can be used to think of zeroes.  Does not have to be between 4-1 and 4-3.  Consider explaining the Second Derivative Test here to explain the presence of zeroes.  

Solving Quadratic Inequalities

Another Example on Quadratic Inequalities

Quadratic Inequality NOT <,> or = 0

1st Derivatives: Increasing & Decreasing Functions (until 3:00)

2nd Derivatives: Concavity, Inflection Points (until 4:00)

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HW Lesson 4-3

Pg. 296-297 #1, #5-23 odds, #25-28 all, #29-34 all, 
                    #35-59 odds, and #69-71 odds

On Multiplicity and Rational Zeroes

Rational Root Test

Finding Rational Zeros and Multiplicity

Example 2 - Zeroes, Multiplicity, RRT

Example 3 - Zeroes, Multiplicity, RRT

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HW lesson 4-4

Pg. 312-313 #1-5 all, #7-14 all, #23-29 odds, and 31-38 all
And the following worksheet.

Graphing Rationals Worksheet Packet

Rational Functions - Finding Vertical Asymptotes

Finding Horizontal Asymptotes

Oblique or Slant Asymptote, Ex 1

Oblique or Slant Asymptote, Ex 2

Graphing a Rational Function

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Unit Review

Worksheet Packet

Unit Review Packet