Name: __________________________________________________________________ Date: _____________________________ Class: _______
Graphs of Polynomial Functions
Part I: Identify the leading coefficient, degree, and end behavior.
1.
2.
Leading Coefficient: _______
Degree: _______
Leading Coefficient: _______
Degree: _______
End Behavior: _________________________________
End Behavior: _________________________________
___________________________________
____________________________________
3.
4.
Leading Coefficient: _______
Degree: _______
Leading Coefficient: _______
Degree: _______
End Behavior: _________________________________
End Behavior: _________________________________
___________________________________
____________________________________
Part II: Identify whether the function graphed has an odd or even degree and a positive or negative leading
coefficient.
5.
6.
7.
___________________________________________ ___________________________________________ _____________________________________
Part III: Graph each function on a calculator, and estimate the local maxima and minima.
8.
9.
10.
11.
max: _________________
max: _________________
max: _________________
max: _________________
min: __________________ min: __________________
min: __________________
min: __________________
Part IV: Answer each question in complete sentences.
12. What is the greatest number of turns that a polynomial of degree 6 can have and how do you know?
_____________________________________________________________________________________________________________________________
_____________________________________________________________________________________________________________________________