Example 9a: Below I tried to give four attributes of a polynomial function. Turns out, by putting these together, I've described something impossible. Why is the scenario impossible? It may help to try to sketch the scenario.
𝑓 is a 4th degree polynomial
On the interval 2,∞, 𝑓𝑥≥0 
On the interval 0,2, 𝑓𝑥 is increasing with an increasing rate of change.