Final answer:
The question does not provide a specific function for determining vertical or horizontal asymptotes. However, general rules indicate that linear functions with nonzero slope do not have horizontal or vertical asymptotes.
Step-by-step explanation:
To find the vertical and horizontal asymptotes of a function, we need to examine its behavior as the input approaches certain values or goes to infinity. Vertical asymptotes occur when the function approaches infinity or is undefined at a specific x-value. Horizontal asymptotes describe the behavior of the function as x approaches positive or negative infinity, indicating the value the function tends toward. Option (b) Vertical: x = 0, Horizontal: None is the correct answer. This means there are no vertical asymptotes, indicating the function does not become undefined at any specific x-value. However, there is no evidence of a horizontal asymptote in the provided options, as all the options lack an indication of the function's behavior as x goes to positive or negative infinity.
It's important to note that horizontal asymptotes are often described in the form y = a, where 'a' is a constant. In this case, none of the options provide a clear horizontal asymptote. The absence of a horizontal asymptote means the function's values may not approach a specific constant as x goes to positive or negative infinity.