Example 4b: 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.
The degree of 𝑓 is even
𝑓 has one relative maximum. It is 𝑓2=5
The absolute maximum of 𝑓 is 5
The absolute minimum of 𝑓 is −3