A. Vertical Asymptote
B. Domain
C. Horizontal Asymptote
D. Range

Part A: Vertical asymptote is

Part B: Domain is

Part C: Horizontal asymptote is

Part D: Range is

Explanation:

Part A: We need to determine the vertical asymptote

The vertical asymptote of a function can be determined by equating the denominator equal to zero.

Thus, we have,

Hence, the vertical asymptote is

Part B: We need to determine the domain

The domain of the function is the set of all independent x - values for which the function is real and well defined.

Let us take the denominator and equate to zero.

Hence, we have,

Therefore, the function is undefined at the point

Thus, the domain of the function is

Part C: We need to determine the horizontal asymptote

The horizontal asymptote of the function can be determined by dividing the leading coefficient of the numerator by leading coefficient of the denominator.

Thus, we have,

Hence, the horizontal asymptote of the function is

Part D: We need to determine the range

The range of the function is the set of all dependent y -values of the function.

In other words, the range of the function can be determined by substituting the values for x.

Thus, we have,

Therefore, the range of the function is