Algebra-2

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

 

A.

1. Simplification:

We can factor the numerator . Then the function becomes:

For , we can cancel out the  factor, and we are left with . However, at , the original function is undefined because we would be dividing by zero. So there is a hole in the graph at .

 

2. Slope:

The simplified form  is a linear function with a slope of , which means it is a gradually increasing line. So this function matches the graph.

 

B.

1. Simplification:

Factor the denominator . Then the function is:

For  and , we can cancel the

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