Understanding asymptotes - Online Tutor - Free Math Videos

The video tutorial explains the concept of asymptotes, emphasizing that they approach but never reach a specific value. It uses the analogy of continuously halving a dollar to illustrate this concept. The tutorial includes calculations to demonstrate how functions behave asymptotically, focusing on both horizontal and vertical asymptotes. It concludes with a discussion on plotting points and generating curves to visualize these mathematical concepts.

Explain the concept of splitting a dollar bill in half in relation to asymptotes.

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What happens to a function as it approaches an asymptote?

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What calculations were performed to illustrate the concept of asymptotes?

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How does the behavior of the function change as the input values increase?

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What is the significance of never actually reaching zero when discussing asymptotes?

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How does the value of the function behave as it approaches a vertical asymptote?

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Describe the relationship between vertical and horizontal asymptotes.

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