Algebra-2

To graph the function , we need to analyze several aspects of it:

 

1. Simplification of the function

First, we can factor the numerator:

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

 

 2. Asymptotes and holes

Hole:

Since we canceled out a factor  from the numerator and the denominator, there is a hole in the graph at . To find the y-coordinate of the hole, we substitute  into the simplified function , which gives

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