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How do you find the horizontal asymptote of a rational function?"

A. Set the denominator equal to zero
B. Set the numerator equal to zero
C.plug in zero for x
D. Use one of the 3 rules

User Mcating
by
8.1k points

2 Answers

3 votes

Final answer:

To find the horizontal asymptote of a rational function, use the rules that compare the degrees of the numerator and the denominator.

Step-by-step explanation:

The correct answer to finding the horizontal asymptote of a rational function is D. Use one of the 3 rules. These rules pertain to the degrees of the numerator (let's call it N) and denominator (let's call it D) of the rational function represented as N(x)/D(x):

  1. If the degree of N is less than the degree of D, the horizontal asymptote is y = 0.
  2. If the degree of N is equal to the degree of D, the horizontal asymptote is y = the coefficient of the highest-degree term of N divided by the coefficient of the highest-degree term of D.
  3. If the degree of N is greater than the degree of D, the function does not have a horizontal asymptote (it may have an oblique or slant asymptote instead).

Options A, B, and C do not provide the correct method for finding horizontal asymptotes.

User Helmut
by
7.9k points
1 vote

Answer:

c

Step-by-step explanation:

User Akash Rajbanshi
by
8.2k points

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