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
Check Homework Answers
Ask questions if you have them!
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
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
Process for Graphing a Polynomial
1.Determine all the zeroes of the polynomial and their multiplicity. Use the fact above to determine the xintercept 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.