Algebra-2

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

 

A. Analyze the function

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

When , the function is undefined because the denominator becomes , which creates a hole at .

When , . So this function does not match the graph.

 

B. Analyze the function

Factor out from the denominator: . Then the function becomes:

When , the function is undefined (has a hole at ).

When , . Also, this function represents a hyperbola and not a straight line passing through the origin, so it does not match the graph.

 

C. Analyze the function

Factor out