Given rational function find the vertical asymptote and hole

Given rational function find the vertical asymptote and hole

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of vertical asymptotes in rational expressions, explaining how to find them by setting the denominator equal to zero. It introduces the idea of removable and non-removable discontinuities, clarifying that removable discontinuities, or holes, occur when factors can be canceled out. The tutorial also discusses graphing lines with discontinuities and finding X and Y intercepts, emphasizing that lines do not have asymptotes but can have holes where the function is undefined.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph of a function at a removable discontinuity?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the x-intercept of a rational function?

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