What is the horizontal asymptote when the degrees of the numerator and denominator are equal?
Asymptotes and Intercepts of a Rational Function
Interactive Video
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Quizizz Content
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Mathematics
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11th Grade - University
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Hard
The video tutorial explains how to determine horizontal and vertical asymptotes in rational functions. It covers the importance of leading coefficients for horizontal asymptotes and solving the denominator for vertical asymptotes. The tutorial also discusses identifying holes in the graph and factoring quadratics into binomials. Finally, it explains how to find x and y intercepts, emphasizing the importance of checking for holes and using different methods for solving.
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5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The ratio of the leading coefficients
The sum of the leading coefficients
The difference of the leading coefficients
The product of the leading coefficients
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the vertical asymptote of a rational function?
Set the numerator equal to zero
Set both numerator and denominator equal to zero
Set the denominator equal to zero
Set the leading coefficients equal to zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you check for when finding vertical asymptotes to ensure accuracy?
Check for holes in the graph
Ensure the degrees of numerator and denominator are equal
Ensure the numerator is in standard form
Verify the leading coefficient is positive
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you find the x-intercepts of a rational function?
Set the numerator equal to zero
Set the leading coefficients equal to zero
Set the denominator equal to zero
Set both numerator and denominator equal to zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a quick method to find the y-intercept of a rational function?
Set the numerator equal to zero
Take the constant term of the numerator over the constant term of the denominator
Plug zero into all x terms
Set the denominator equal to zero
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