For the polynomial -6x3 - 24x2 - 24x, find the following:

a) the end behavior of the graph using the leading coefficient test.

b) all x-intercepts. Separate each intercept with a comma.

 

c) the behavior of the graph at all x-intercepts. If there is not an x-intercept with the given behavior, state "DNE" in the box next to the behavior.

x-intercepts where the graph crosses the x-axis  

x-intercepts where the graph touches the x-axis and turns  

d) the y-intercept.