Determining the non removable holes of a rational function

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.

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

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

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

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

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

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