Learn how to find the vertical asymptote

Learn how to find the vertical asymptote

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find vertical asymptotes by setting the denominator of a function equal to zero. This concept is crucial for understanding limits in the next chapter. Vertical asymptotes occur at values not in the domain, specifically where the denominator equals zero. The tutorial provides a step-by-step guide to finding these asymptotes, concluding with an example where x equals 4 is identified as a vertical asymptote.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding a vertical asymptote?

Integrate the function

Find the derivative of the function

Set the denominator equal to zero

Set the numerator equal to zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't we divide by zero in mathematics?

It results in a complex number

It results in a positive number

It results in a negative number

It results in an undefined value

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When do vertical asymptotes occur in a function?

When the numerator is zero

When the denominator is zero

When both numerator and denominator are zero

When the function is linear

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of x is identified as the vertical asymptote in the example?

x = 6

x = 4

x = 2

x = 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after setting the denominator equal to zero to find the vertical asymptote?

Multiply both sides by zero

Add a constant to both sides

Solve for x

Divide both sides by zero