Identifying vertical, horizontal asymptotes and holes

The video tutorial explains how to identify vertical asymptotes and distinguish them from other discontinuities like holes. It emphasizes the importance of checking if discontinuities are removable or non-removable by factoring the numerator and denominator. The tutorial also covers horizontal asymptotes, explaining how to determine them by comparing the degrees of the numerator and denominator. The key takeaway is to carefully analyze functions to correctly identify asymptotes and discontinuities.

What steps should you take to find vertical asymptotes?

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What is the difference between vertical asymptotes and removable discontinuities?

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How do you determine if a discontinuity is removable or non-removable?

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Why is it important to distinguish between holes and asymptotes when analyzing functions?

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Explain the significance of the degrees of the numerator and denominator in determining horizontal asymptotes.

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