Warm Up 8-261. Are the following graphs even or odd? (Draw them on your paper)

2. What are the zeros for the given polynomial function and what is the multiplicity of each zero?a) f(x) = (x-1)(x+1)2(x-2)3

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Vocab Cubic Functions- Polynomials of degree _____

Quartic Functions- Polynomials of degree _____

Leading Term – anxn or the term with the _________ degree

Zeros – Where the function touches the _________

Relative Extrema – local maximums or ___________

End Behavior – The limit as x approaches infinity and the limit as x approaches _________

Vocab Cubic Functions- Polynomials of degree __3___

Quartic Functions- Polynomials of degree __4___

Leading Term – anxn or the term with the __highest___ degree

Zeros – Where the function touches the ___x-axis___

Relative Extrema – local maximums or __minimums____

End Behavior – The limit as x approaches infinity and the limit as x approaches __-infinity___

Notes Graphing polynomials in factored form

Homework1. Syllabus quiz due tomorrow at midnight2. Section 2.3 #9-12, 17, 18, 21, 22, 25-28 3. Sign up for Remind messages

Process for Graphing a Polynomial1.Determine all the zeroes of the polynomial and their multiplicity.  Use the fact above to determine the x-intercept that corresponds to each zero will cross the x-axis or just touch it and if the x-intercept will flatten out or not.

2.Determine the y-intercept, 

3.Use the leading coefficient test to determine the behavior of the polynomial at the end of the graph.

4.Plot a few more points.  This is left intentionally vague.  The more points that you plot the better the sketch.  At the least you should plot at least one at either end of the graph and at least one point between each pair of zeroes.