The end behavior of a polynomial function Mr. Heltenberg
- Author:
- Mr. Heltenberg, Irina Boyadzhiev
The end behavior of a polynomial function is the behavior of the graph of as approaches plus or minus infinity.
1. Change and observe the general shape of the polynomials.
2. Change the values of some coefficients and see what is the role of these coefficients.
3. What term determines the behavior of the function in plus and minus infinity?
When "N" is equal to 3
What is the fewest and most number of roots you can have?
When "N" is equal to 4
What is the fewest and most number of roots you can have? What is the ending behavior (does the right side go up or down and does the left side go up or down)? Describe the shape.
When "N" is equal to 5
What is the fewest and most number of roots you can have? What is the ending behavior (does the right side go up or down and does the left side go up or down)? Describe the shape.
When "N" is equal to 6
What is the fewest and most number of roots you can have? What is the ending behavior (does the right side go up or down and does the left side go up or down)? Describe the shape.
Summarize your findings
Given a polynomial with "n" degree, what do you know about it?