Chapter 5
Polynomial Functions
5.1 Exploring Cubic Functions
Determine possible volumes for a box given other dimensions and determine relative maximums or minimums
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Determine products of three linear factors and verify graphically
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Determine products linear and quadratic factors and verify graphically
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Videos 5.1A through 5.1C Assigned: 10/19 : Due: 10/20
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5.2 Power Functions
Sketch the graphs of power functions and describe end behavior
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Determine whether functions are even, odd, or neither given their graphs
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Determine algebraically whether functions are even, odd, or neither
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Videos 5.2A through 5.2C Assigned: 10/20 : Due: 10/23
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5.3 Transformations and Symmetry of Polynomial Functions
Describe Transformations Performed on One Function Given its Equation in Terms of Another
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Use Reference Points to Graph Cubic and Quartic Functions
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Given Graphs of Two Functions, Write the Equation of One Function in Terms of the Other
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Graph and Write a Specific Equation for a Function Given its Equation in Terms of Power Functions
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Videos 5.3A through 5.3D Assigned: 10/23 : Due: 10/24
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5.4 Key Characteristics of Polynomial Functions
List numbers of possible extrema for polynomials of given degrees
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Sketch graphs of polynomials given their characteristics
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Choose equations of polynomials that can model given graphs of polynomials
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Videos 5.4A through 5.4C Assigned: 10/24 : Due: 10/25
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5.5 Building Cubic and Quartic Functions
Sketch a set of functions whose product builds a cubic with given characteristics
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Write different equations for cubics with given characteristics
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Sketch graphs of cubics that are products of given functions
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Sketch a set of functions whose product builds a quartic with given characteristics
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Videos 5.5A through 5.5D Assigned: 10/25 : Due: 10/26
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5.6 The Closure Property
Determine whether given graphs represent polynomial functions
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Determine whether sets of numbers are closed under indicated operations
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Perform indicated operations on sets of polynomials to show whether they are closed under those operations
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Videos 5.6A through 5.6C Assigned: 10/26 : Due: 10/27
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