How to graph a rational function with a hole

How to graph a rational function with a hole

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial covers the process of factoring trinomials and identifying discontinuities in functions, specifically focusing on holes and asymptotes. It explains how to graph functions with holes, determine the domain and range, and explore limits and continuity at points of discontinuity. The tutorial emphasizes understanding the difference between holes and vertical asymptotes and how these affect the graph of a function.

Read more

7 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a discontinuity divides out in a function?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of a vertical asymptote in a rational function?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the location of a hole in a function?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the Y-intercept of a function.

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function discussed, and why is it important?

Evaluate responses using AI:

OFF

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding limits as X approaches a specific value.

Evaluate responses using AI:

OFF

7.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the function value as X approaches the hole at X = -3?

Evaluate responses using AI:

OFF