So, what would this guy look like?
Both tails shoot down... 
I'm not really sure about those wobbles though... Not without the specific info... And not without a graphing calculator... OR CALCULUS! So, I'll just do my best and draw a basic shape for now.
Remember that a 4th degree polynomial can cross the xaxis, at most, FOUR times. This info really helps with these rough sketches! 
What about  ? 
It can cross, at most, six times... positive even degree always starts with the left tail up... Let this info guide the shape as you draw...
Both tails shoot up.
