Answer:
4th Option is correct that is Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.
Step-by-step explanation:
Given polynomial function, 
We need to find graph which represent the polynomial function.
First we find y intercept by putting x = 0 in polynomial function.
y = f(0)

y = 4
So, According to this information we only have Option 4th.
Now to check other information of option 4th we draw the polynomial on graph.
graph is attached.
from graph, x intercepts are -1 , 1 , 4
Therefore, 4th Option is correct that is Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 1, 1, and 4. The graph intersects the y axis at a point between 0 and 5.