lecture 3.6 bt

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Today’s Agenda Attendance / Announcements Need TI Graphing Calculator Exam 2 – Friday 10/11 Covers Chapters 3.1 to 3.6 Project Due Thur (or today,Wed) Review Quiz Sections 3.6

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Page 1: Lecture 3.6 bt

Today’s AgendaAttendance / Announcements

◦Need TI Graphing Calculator◦Exam 2 – Friday 10/11Covers Chapters 3.1 to 3.6

◦Project Due Thur (or today,Wed)

Review QuizSections 3.6

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Polynomial Functions

73)( 2 xxf

26)( 24 xxxg

5532)( xxxh

Degree of 2

Degree of 4

Degree of 5

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Basic Graphs3)( xxf

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Basic Graphs3)( xxf

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Basic Graphs4)( xxf

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Basic Graphs4)( xxf

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End Behavior

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End Behavior

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End Behavior

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End Behavior

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End Behavior

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Use calculator to graph𝑓 (𝑥 )=𝑥3−11𝑥2−32𝑥+24

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Graphs of PolynomialsThe number of “peaks/valleys” for a graph of a polynomial is at most n – 1, where n is the degree of the polynomial

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Strategy for Graphing Polynomials

• Find x-intercepts (set y=0)– Use factoring / Zero Product Property

• Make a sign test with x-intercepts• Find y-intercepts• Think of End Behavior• Find a few additional points• Plot points and sketch graph

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𝑓 (𝑥 )=(𝑥−5 ) (𝑥−1 ) (𝑥+1 )

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𝑓 (𝑥 )=𝑥2 (𝑥+2 ) (𝑥−2 )

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𝑓 (𝑥 )=𝑥3+3𝑥2−10𝑥

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Classwork

• Page 193•5 – 14 all•15 – 21 odd•23 – 26 all