How to determine the domain of addition of two rational functions

How to determine the domain of addition of two rational functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the domain restrictions of a function, identifying values that make the function undefined, specifically x cannot equal 0 or 3. It explains the continuity of the function across different intervals and provides a graphical representation of these concepts. The function is continuous from negative infinity to zero, zero to three, and three to infinity, with disconnections at the points where x equals 0 and 3.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What values cannot be included in the domain of the function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why X cannot equal 0 in the context of this function.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the behavior of the function as it approaches the values that are not in the domain?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the continuity of the function across its domain.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the graph of the function look like in relation to the excluded values?

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