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Question 1204540: f(x)= (15x^2 + 34x + 16)/ x-1
Horizontal asymptote at y = ?
Answer by greenestamps(13215)   (Show Source):
You can put this solution on YOUR website!
There is no horizontal asymptote for this function. For large positive or large negative values of x, only the leading terms of the polynomials in the numerator and denominator are significant; the end behavior is like (15x^2)/(x) = 15x.
There is a slant asymptote of y=15x.
You get a non-zero horizontal asymptote when the degrees of the polynomials in the numerator and denominator are the same. For example, f(x) = (3x^2+4x+5)/(2x^2+3x+4) has a horizontal asymptote at y=3/2.
And you get a horizontal asymptote at y=0 if the degree of the polynomial in the denominator is greater than the degree of the polynomial in the numerator.
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