1. Polynomial investigation
Part 2

2. For the following higher order polynomials, follow the directions and answer the following questions.
y = x4 + 7x³ + 7x² - 15x – 8
y = x³ + 7x² + 7x – 15
Graph #1 in your calculator.
Then in the following “y=”:
change the constant
make the leading coefficient negative
change the leading coefficient to a larger number
change the leading coefficient to a small number (between 0 and 1)
Do the same for #2

3. Answer the following questions
What does the constant determine about the polynomial?
What does a negative leading coefficient determine?
What does the actual leading coefficient determine (big number vs small number)?