Lesson 2.2 Polynomial Functions of Higher Degree · 2018. 8. 1. · PreCalculus Lesson 2.2.notebook...
Transcript of Lesson 2.2 Polynomial Functions of Higher Degree · 2018. 8. 1. · PreCalculus Lesson 2.2.notebook...
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PreCalculus Lesson 2.2.notebook
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September 07, 2011
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
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PreCalculus Lesson 2.2.notebook
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Library of Parent Functions: Polynomial Functions
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PreCalculus Lesson 2.2.notebook
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Example 1Transformations of Monomial Functions
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PreCalculus Lesson 2.2.notebook
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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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PreCalculus Lesson 2.2.notebook
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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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PreCalculus Lesson 2.2.notebook
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Example 4
Analyzing a Polynomial Function
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PreCalculus Lesson 2.2.notebook
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Repeated Zeros
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PreCalculus Lesson 2.2.notebook
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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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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______112 6
Match the polynomial function with its graph.
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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______112 7
Match the polynomial function with its graph.
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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______112 8
Match the polynomial function with its graph.
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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______113 16
Use the leading Coefficient Test. Check with Calculator
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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______113 24
Find all real zeros, check with calculator
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PreCalculus Lesson 2.2.notebook
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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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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______113 39
Find all real zeros algebraically, check with calculator.
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PreCalculus Lesson 2.2.notebook
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Homework page _____ problem _______113 45
Graph and find any real zeros and relative extrema.
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PreCalculus Lesson 2.2.notebook
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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