a. Find the domain of function
b. Find
c. Find all vertical and horizontal asymptotes
d. Find
Here are my answers...are they correct?
a. All real numbers not equal to -2
b.
c. Vertical:
Horizontal:
d.
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 .