What is the horizontal asymptote of a rational function where the degree of the denominator is greater than the numerator?

Rational Functions: Asymptotes and Intercepts

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Mathematics
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9th - 12th Grade
•
Hard

Jackson Turner
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = 1
x = 0
y = 0
x = 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the vertical asymptote of a rational function?
Set the denominator equal to zero
Find the y-intercept
Find the x-intercept
Set the numerator equal to zero
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of a rational function with a hole at x = -2 and a vertical asymptote at x = 3?
(-∞, -2) ∪ (-2, 3) ∪ (3, ∞)
(-∞, ∞)
(-∞, -2) ∪ (3, ∞)
(-∞, 3) ∪ (3, ∞)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the range of a rational function with a horizontal asymptote at y = 0 and a hole at y = -1/5?
(-∞, -1/5) ∪ (0, ∞)
(-∞, -1/5) ∪ (-1/5, 0) ∪ (0, ∞)
(-∞, ∞)
(-∞, 0) ∪ (0, ∞)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the x-intercept of a rational function?
Find the horizontal asymptote
Find the vertical asymptote
Set x equal to zero and solve for y
Set y equal to zero and solve for x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slant asymptote of a rational function where the degree of the numerator is one more than the denominator?
It is the same as the horizontal asymptote
It is the remainder from long division
It is the quotient from long division
There is no slant asymptote
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the y-intercept of a rational function?
Set y equal to zero and solve for x
Set x equal to zero and solve for y
Find the horizontal asymptote
Find the vertical asymptote
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