SOLUTION: You MUST show all your steps to earn full points Find the horizontal asymptote(s) of f(x)= x/x^2+1 Explain your response. I. y = -1 II. y = 0 III. y = 1 ----------- ------

Algebra ->  Finance -> SOLUTION: You MUST show all your steps to earn full points Find the horizontal asymptote(s) of f(x)= x/x^2+1 Explain your response. I. y = -1 II. y = 0 III. y = 1 ----------- ------      Log On


   

Question 987337: You MUST show all your steps to earn full points
Find the horizontal asymptote(s) of f(x)= x/x^2+1
Explain your response.
I. y = -1
II. y = 0
III. y = 1
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Answer by solver91311(24713) About Me  (Show Source):
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Horizontal asymptotes of rational functions:

If the degree of the denominator polynomial is greater than the degree of the numerator polynomial, then the horizontal asymptote is the -axis.

If the degree of the denominator polynomial is equal to the degree of the numerator polynomial, then the horizontal asymptote is the line where is the lead coefficient of the numerator polynomial and is the lead coefficient of the denominator polynomial.

If the degree of the denominator polynomial is less than the degree of the numerator polynomial by 1, then there is an oblique asymptote for which the equation is where is the quotient of the numerator polynomial divided by the denominator polynomial excluding any remainder.

John

My calculator said it, I believe it, that settles it