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.

What happens to a function as it approaches an asymptote?

What calculations were performed to illustrate the concept of asymptotes?

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

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

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

Describe the relationship between vertical and horizontal asymptotes.