a) Only half right.

Polynomials are continuous everywhere, so the quotient of polynomials is continuous everywhere except where the denominator is .

So if the denominator is , we have

or .

Thus the domain of the function is .

b) Incorrect.

Notice that we can rewrite the function as

.

Now find .

c) Nearly correct.

We can further rewrite the function as

There will be a vertical asymptote at and a horizontal asymptote at .

d) Correct.

As .

Therefore .

Thus .