How to determine if discontinuities are holes or asymptotes

How to determine if discontinuities are holes or asymptotes

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial discusses the concepts of discontinuities in precalculus, focusing on holes and asymptotes. It explains how to identify vertical asymptotes by setting the denominator to zero and factoring expressions to find removable discontinuities. The tutorial concludes by determining the real vertical asymptotes and provides a cautionary note on correctly identifying them.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you identify vertical asymptotes according to the discussion?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of factoring the expression as described in the text.

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a discontinuity to be removable, and how does it differ from a vertical asymptote?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the expression 'X + 2' in the context of vertical asymptotes?

Evaluate responses using AI:

OFF