Algebra-2

Let's analyze each function based on the given graph:

 

A.

1. Vertical asymptote:

Set the denominator , and solve for . We get . This does not match the graph that the vertical asymptote is at . So this function is not the correct one.

 

2. Horizontal asymptote:

Since the degree of the numerator and the denominator is the same (both are of degree ), we divide the leading coefficients. The leading coefficient of the numerator is  and that of the denominator is . So , which is not equal to the horizontal asymptote .

 

B.

1. Vertical asymptote:

Set , we find . This matches the vertical asymptote of the given graph.

 

2. Horizontal asymptote:

Since the degree of the numerator and the denominator is the same (both are of degree ), dividing the leading coefficients (both are ), we get . This does not match the horizontal asymptote

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