# Find holes in rational function

To find hole, simplify the rational function as shown below. In the above simplification, the common factor for numerator and denominator is (x - 2). So there is a hole. (Note : If there is no common factor for both numerator and

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## 2-07 Asymptotes of Rational Functions

Step 1. Factor the rational function. Step 2. Identify the common factors on the numerator and denominator. Step 3. Set the common factors equal to zero and solve. Step 4. Graph the function, making sure to draw holes at the points