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# What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.

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What is the range of the function$$f(x) = \frac{1}{1-x}~?$$Express your answer in interval notation.

Aug 3, 2022

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Believe it, or not....we have  a lower power polynomial over a higher power polynomial

When this happens, we have a horizontal asymptote at  y = 0

So

The range is    (-inf ,0) U ( 0 , inf)

Aug 3, 2022