Polynomial Functions

1
Polynomial Functions

• Sketching Characteristics

2
Zeros and Multiplicity

• Odd Multiplicity
• Even Multiplicity

Multiplicity determines if a function crosses the
x-axis or bounces off the x-axis.
3
Degree and End-behavior

• Even degree Odd Degree
• Positive
• leading
• coefficient
• Negative
• leading
• coefficient

4
Example 1

• Zeros multiplicity cross/bounce?
• _____ _______ __________
• _____ _______ __________
• y-intercept? __________
• Degree of Polynomial Function? _______
• Pos./Neg. Leading Coefficient? _______
• Describe the end behavior?

5
Example 2

• Zeros multiplicity cross/bounce?
• _____ _______ __________
• _____ _______ __________
• _____ _______ __________
• y-intercept? __________
• Degree of Polynomial Function? _______
• Pos./Neg. Leading Coefficient? _______
• Describe the end behavior?

6
Example 3

• Zeros multiplicity cross/bounce?
• _____ _______ __________
• _____ _______ __________
• _____ _______ __________
• y-intercept? __________
• Degree of Polynomial Function? _______
• Pos./Neg. Leading Coefficient? _______
• Describe the end behavior?