Determining the non removable holes of a rational function

Determining the non removable holes of a rational function

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains the concept of domain and discontinuity in rational functions. It highlights how to identify when a function is not defined, leading to discontinuities. The tutorial further explores how to simplify expressions to determine if a discontinuity is a hole, which is removable. It also discusses the domain of functions and the limitations of graphing technology in displaying holes.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of identifying values that are not part of the domain in a rational function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if a discontinuity in a function is a hole?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of simplifying a rational function to identify discontinuities.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a discontinuity is described as removable?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the domain of a function that has a removable discontinuity at x = -2.

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