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PreCalculus Lesson 2.2.notebook
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Lesson 2.2Polynomial Functions of Higher Degree
Wednesday, September 7, 2011
Goals: Use transformations to sketch graphs og polynomial functions. Use the leading coefficient test to determine the end behavior of graphs of polynomial functions. Find and use zeros pf polynomial functions as a sketching aids. Use the intermediate Value Theorem to help locate zeros of polynomial functions.Instructional DVD's: Polynomial Functions of Higher Degree 30:48 DVD 2
PreCalculus Lesson 2.2.notebook
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Library of Parent Functions: Polynomial Functions
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Example 1Transformations of Monomial Functions
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The Leading Coeffcient Test
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Real Zeros of a Polynomial Functions
1. x = a is a zero of the function f
2. x = a is a solution of the polynomial equation f (x) = 0
3. (x a) is a factor of the polynomial f(x)
4. ( a, 0 ) is an intercept of the graph of f
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Example 2Applying the Leading Coefficient Test
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Example 3Finding Zeros of a Polynomial Function
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Example 4
Analyzing a Polynomial Function
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Repeated Zeros
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Example 5Finding Zeros of a Polynomial Function
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Example 6Finding a Polynomial Function with Given Zeros
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Example 7
Sketching the Graph of a Polynomial Function
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Example 8
Sketching the Graph of a Polynomial Function
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Example 9
Approximating the Zeros of a Function
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Date:
Classwork: Computer:
Homework: Lesson 22
Page 112113 Problems 7, 8, 18, 19, 26, 27, 36, 39, 45, 48, 52, 53
Wednesday, September 7, 2011
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Homework page _____ problem _______112 6
Match the polynomial function with its graph.
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Homework page _____ problem _______112 7
Match the polynomial function with its graph.
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Homework page _____ problem _______112 8
Match the polynomial function with its graph.
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Homework page _____ problem _______113 16
Use the leading Coefficient Test. Check with Calculator
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Homework page _____ problem _______113 24
Find all real zeros, check with calculator
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Homework page _____ problem _______113 34
Find all real zeros algebraically, check with calculator.
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Homework page _____ problem _______113 36
Find all real zeros algebraically, check with calculator.
0, 0, 0, 3, 3
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Homework page _____ problem _______113 39
Find all real zeros algebraically, check with calculator.
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Homework page _____ problem _______113 45
Graph and find any real zeros and relative extrema.
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Homework page _____ problem _______113 46
Graph and find any real zeros and relative extrema.
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Homework page _____ problem _______113 48
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Homework page _____ problem _______113 50
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Homework page _____ problem _______113 52
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Homework page _____ problem _______113 53
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Homework page _____ problem _______113 55