Algebra-2

Let's analyze each function one by one to determine which one represents the graph:

 

A.Function

First, we factor the numerator: . Then the function can be written as:

 

For , we can cancel out the common factor , and we get .

This means that the function simplifies to a linear function , but it has a hole at . When , , so it passes through the origin. Also, since the slope of  is , it is an increasing function. This function exactly matches the graph.

 

B.Function

Factor the denominator: . So the function becomes .

For  and , we can simplify it to .

This function has vertical asymptotes at

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