Quiz # 6 Polynomial Functions

For the polynomial y = $-\frac{1}{4}{x}^3(x+8){(x-1)}^4$

, find the following:

a) The end behavior of the graph.

1. Falls left and right
2. Rises left and falls right
3. Falls left and rises right
4. Rises left and right

When listing x-intercepts, give x-values only separated by commas.
If no x-intercepts satisfy the criterion, enter DNE.

b) List all x-intercepts. _____

c) List the x-intercepts where the graph crosses the x-axis.   ______

d) List the x-intercepts where the graph touches the x-axis and turns.  _____

e) The y-intercept. (y-value only.)