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60 POINTS!!! HELPFind any asymptotes or holes in the function below. Explain how you arrived at your answer. SHOW YOUR WORK AND THE STEPS YOU TOOK.

60 POINTS!!! HELPFind any asymptotes or holes in the function below. Explain how you-example-1
User Leo Liu
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1 Answer

4 votes

The function given is,


y=(x-6)/((x-1)(x-6))

Since , the leading coefficient of numerator is less than the leading coefficient of denominator .

Therefore, there is no horizontal asymptotes.

For finding the vertical asymptotes, substitute the denominator is equal to 0.


(x-1)=0\text{ , }(x-6)=0
x=\text{ 1,6.}

The vertical asymptotes are 1 and 6.

To find the hole in the function,


(x-6)

is crossed out in numerator and denominator.

So, if we set up x-6 equals to 0.

The hole in the function is, when


x=6.

User TonyOssa
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