Graphing a rational function with no horizontal asymptote

Graphing a rational function with no horizontal asymptote

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph a function by identifying vertical and horizontal asymptotes, finding x- and y-intercepts, and plotting points. It emphasizes the importance of understanding the behavior of the graph near asymptotes and using a graphing calculator for accuracy.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step to graphing the function mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the vertical asymptote of the function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the degrees of the numerator and denominator in relation to horizontal asymptotes?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the x-intercept of the function.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the y-intercept of the function and how is it calculated?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of finding points to the left and right of the graph.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What should you ensure when graphing the function in relation to the asymptotes?

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