lecture 3.6 bt
Post on 19-Jun-2015
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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
Polynomial Functions
73)( 2 xxf
26)( 24 xxxg
5532)( xxxh
Degree of 2
Degree of 4
Degree of 5
Basic Graphs3)( xxf
Basic Graphs3)( xxf
Basic Graphs4)( xxf
Basic Graphs4)( xxf
End Behavior
End Behavior
End Behavior
End Behavior
End Behavior
Use calculator to graph𝑓 (𝑥 )=𝑥3−11𝑥2−32𝑥+24
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
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
𝑓 (𝑥 )=(𝑥−5 ) (𝑥−1 ) (𝑥+1 )
𝑓 (𝑥 )=𝑥2 (𝑥+2 ) (𝑥−2 )
𝑓 (𝑥 )=𝑥3+3𝑥2−10𝑥
Classwork
• Page 193•5 – 14 all•15 – 21 odd•23 – 26 all
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