BEST explanation how to determine domain algebraically

BEST explanation how to determine domain algebraically

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to determine the domain and range of functions, focusing on restrictions such as division by zero and taking the square root of negative numbers. It covers scenarios where expressions are in the denominator or under a radical, and how these affect the domain. The tutorial also discusses the domain of sine and cosine functions, emphasizing their continuity in both positive and negative directions.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the two main restrictions on the domain and range mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function X + 3 when it is in the denominator?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why negative numbers cannot be in the domain when dealing with square roots.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a number is in the domain when dealing with a rational function?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of setting the radicand greater than or equal to zero?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express the domain of a function that includes a radical in interval notation?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of sine and cosine functions according to the text?

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