Identify the horizontal asymptote of the following rational function:
f(x) = (6x + 1) / (2x - 8)
a. y = -4
b. y = 3
c. y = 2
d. y = 6

Question

Identify the horizontal asymptote of the following rational function: f(x) = (6x + 1) / (2x - 8) a. y = -4 b. y = 3 c. y = 2 d. y = 6

SnapAndSolve AI · Accepted Answer

The horizontal asymptote of a rational function is determined by the degrees of the polynomials in the numerator and the denominator. If the degrees are the same, the horizontal asymptote is the ratio of the leading coefficients.

In this case, the degrees of the numerator (6x + 1) and the denominator (2x - 8) are both 1. The leading coefficient of the numerator is 6, and the leading coefficient of the denominator is 2.

Therefore, the horizontal asymptote is y = 6/2 = 3.

b. y = 3

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Identify the horizontal asymptote of the following rational function: f(x) = (6x + 1) / (2x - 8) a. y = -4...

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