Overview of asymptotes of a rational function, vertical horizontal and slant

Overview of asymptotes of a rational function, vertical horizontal and slant

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of asymptotes in rational functions, explaining vertical, horizontal, and slant asymptotes. It discusses how to determine each type based on the function's degree and coefficients, and provides rules for identifying them. The tutorial also touches on the properties of asymptotes and their behavior in graphs.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of asymptotes apply to the function 1/X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the definition of a vertical asymptote?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general rule for identifying vertical asymptotes in a rational function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the horizontal asymptote of a rational function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the degrees of the numerator and denominator in determining horizontal asymptotes.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the leading coefficient when the degrees of the numerator and denominator are equal?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What conditions must be met for a function to have a slant asymptote?

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