The graph of meets the -axis at the points , 0, and 3. The vertical lines, together with the -axis, divide the plane into eight regions (a)–(h).
In which regions does the graph of lie?
Determine whether the following statement is true: If the graph of a polynomial does NOT cross the -axis, then the degree of the polynomial is even.
Determine whether the following statement is true: If the degree of a polynomial is even, then its graph meets the -axis an even number of times.