True or False? In Exercises 1-4, determine whether the statement is true or false. Justify your answer.
1. If the graph of a polynomial function falls to the right, then its leading coefficient is negative.
2. A fifth-degree polynomial function can have five turning points in its graph.
3. It is possible for a polynomial with an even degree to have a range of (−∞,∞).
4. If f is a polynomial function of x such that f (2) = −6 and f (6) = 6, then f has at most one real zero between x = 2 and x = 6.