Divide a linear equation by a quadratic to determine the domain

Divide a linear equation by a quadratic to determine the domain

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the domain of functions, focusing on linear and quadratic functions, which have domains of all real numbers. It highlights the difference when dealing with division, where the denominator cannot be zero, leading to domain restrictions. The concept of movable holes is introduced, explaining that they are discontinuities that affect the domain. Finally, the tutorial demonstrates how to identify domain exclusions using a number line, emphasizing the importance of understanding these concepts in mathematical operations.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the domain of the function F(X) if it is linear?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the domain of the sum, product, or quotient of two functions is determined when both functions have all real numbers as their domains.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What restriction is introduced when a function is placed in the denominator during division?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the concept of a 'movable hole' in relation to the domain of a function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the values that are not included in the domain when dividing the functions F(X) and G(X)?

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