2.2 Polynomial Functions Of Higher Degree Homework Answers

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Presentation on theme: "Warm Up 8-26 1.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."— Presentation transcript:

1 Warm Up 8-26 1.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

2 Check Homework Answers Ask questions if you have them!

3 Vocab Cubic Functions- Polynomials of degree _____ Quartic Functions- Polynomials of degree _____ Leading Term – a n x n 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 _________

4 Vocab Cubic Functions- Polynomials of degree __3___ Quartic Functions- Polynomials of degree __4___ Leading Term – a n x n 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___

5 Notes Graphing polynomials in factored form

6 Homework 1.Syllabus quiz due tomorrow at midnight 2.Section 2.3 #9-12, 17, 18, 21, 22, 25-28 3.Sign up for Remind messages

7 Process for Graphing a Polynomial 1.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.


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