Example 9b: 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.
𝑔𝑥 is an even function
On the interval −5,−1, 𝑔𝑥>0 
𝑔𝑥 has a relative minimum at the point 4,−2