the answer to (a) is no, can you think of an example. if you can, then use Maple to graph it and show that the answer is no.
(b) the answer is yes. i leave it to you to come up with an example.
(c) the answer is no. i leave it to you to explain why
(d) consider the definition of "horizontal asymptote." based on the definition, how many H.A. is it possible to have?
since this is an assignment, i cannot really help you more than i already have, at least not until you put in some work of your own. think about these problems and get back to me