How to determine if the discontinuities are holes or asymptotes

The video tutorial discusses the concept of discontinuities in precalculus, focusing on holes and asymptotes. It explains how to identify vertical asymptotes by ensuring the denominator is not zero and demonstrates factoring expressions to distinguish between removable and non-removable discontinuities. The tutorial concludes by clarifying that the only vertical asymptote in the example is at x = -2, emphasizing the importance of accurate identification in graph analysis.

What are the two types of discontinuities mentioned in the text?

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How do you identify vertical asymptotes according to the discussion?

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What is the significance of the denominator being equal to zero in the context of vertical asymptotes?

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What does the factorization of the expression reveal about removable discontinuities?

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What is the final conclusion about the vertical asymptote based on the factorization discussed?

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