Example 9c: 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.
𝑓𝑥 is an odd function
On the interval −3,1, 𝑓𝑥<0 
As the input of 𝑓 increases without bound, the output of 𝑓 decreases without bound
𝑓 has no local extrema