In this problem, I'm reminding you that the statement "If $f(x)$ is a polynomial, then $f(x)$ is continuous" is true. (This was one of the facts that I wrote on the board today, but didn't prove.) There are at least two ways to approach this problem. I give you three statements and only one of them is true. You could figure out which two are not true by constructing counterexamples, which would then tell you that the remaining one must be true. Alternatively, you could just figure out which one of the statements is the contrapositive of the original.

If you don't know what the contrapositive is, let me briefly explain. If you have a statement of the form "If blah, then junk", then the contrapositive is the statement "If not junk, then not blah." In essence, you flip the hypothesis and conclusion and negate them. Using truth tables, one can easily verify that a statement and its contrapositive have the same truth value. If you want to know more, check this out:

http://en.wikipedia.org/wiki/Contraposition

Understanding contrapositives and converses is very useful in mathematics and when listening to politicians (and other things, of course).