Answer:
I can't see the options, so i will find all the asymptotes.
We have the function:
First, we can graph this using a graphing tool, the graph can be seen below.
In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.
This can be written as:
and:
A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.
Then:
For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.
Then:
We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5
Then:
So you need to check the options that match with some of the given tendencies.