pre-calculus lesson 2.1 chapter 2 - madison local schools
TRANSCRIPT
Chapter 2Polynomial and Rational Functions
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Lesson 2.1Quadratic Functions
Wednesday, September 9, 2009
Goals: Analyze graphs of quadratic functions. Write quadratic functions in standard form and use the results to sketch graphs of functions. Find minimum and maximum values of functions in real life applications.Instructional DVD's: Lines in the plane 37:53 DVD 1
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Definition of a Polynomial Function
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Definition of a Quadratic Function
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Library of Parent Functions: Quadratic Function
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Example 1Graphing Simple Quadratic Functions
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The Standard Form of the Quadratic Function
axis of symmetry: x = hvertex = (h,k)
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Example 2Identifying the vertex of a Quadratic Function
complete square
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Example 3Identifying the xIntercepts of a Quadratic Function
complete square
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Example 4Writing the Equation of a Parabola in Standard Form
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Finding Minimum and Maximum Values
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Example 5The Maximum Height of a Baseball
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Example 6 Cost
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Example 7 Grants
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Date:
Classwork: Computer:
Homework:
Lesson 21Page 99101 Problems 460, every 4th problem
Wednesday, September 9, 2009
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Homework page _____ problem _______99 4
Match the Graph
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Homework page _____ problem _______99 8
Sketch Graph Identify vertex and xintercepts
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Homework page _____ problem _______99 12
Sketch Graph Identify vertex and xintercepts
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Homework page _____ problem _______99 16
Sketch Graph Identify vertex and xintercepts
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Homework page _____ problem _______99 20
Sketch Graph Identify vertex and xintercepts
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Homework page _____ problem _______99 24
Sketch graph identify vertex and xintercepts,write in standard form.
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Homework page _____ problem _______99 28
(2,1)
(0,3)
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Homework page _____ problem _______100 32
Vertex: (4,1) Point: (2,4)
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Homework page _____ problem _______100 36
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Homework page _____ problem _______100 40
Graph and find the xintercepts and compare them with the solutions to y = 0
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Homework page _____ problem _______100 44
Graph and find the xintercepts and compare them with the solutions to y = 0
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Homework page _____ problem _______100 48
Find two quadratic functions, one that opens up and one that opens down, whose graphs have the given xintercepts.
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Homework page _____ problem _______100 52
The sum of the first and three times the second is 42
Find two positive real numbers whose product is a maximum.
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Homework page _____ problem _______101 56
Path a of a Diver
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Homework page _____ problem _______101 60
Revenue
The total revenue of a dog walking service is given by:
(a) Find Revenue for $4, $6, $8
(b) Find price that yeild the max
(c) What is the Maximum Revenue
(d) Explain
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