Master How to determine the vertical asymptotes of a rational function

Master How to determine the vertical asymptotes of a rational function

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine vertical asymptotes in rational functions. It covers the process of setting the denominator equal to zero to find values not in the domain, which may create holes or asymptotes. The tutorial provides examples, discusses simplification, and addresses non-factorable denominators and imaginary solutions. It also explains how to identify holes in graphs and their impact on the domain.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the steps to find the vertical asymptotes of the function X/(X^2 + 3).

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

In the example X + 6 / (X^2 - 24), what does the cancellation of (X + 6) indicate?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of an open circle on a graph of a rational function?

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