Identify the horizontal asymptote of the following rational function:
f(x) = \frac{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) = \frac{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 comparing the degrees of the numerator and the denominator. Here, both the numerator (6x + 1) and the denominator (2x - 8) are of degree 1.

When the degrees are the same, the horizontal asymptote is y = (leading coefficient of the numerator) / (leading coefficient of the denominator).

Thus, 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) = \frac{6x + 1}{2x - 8} a. y =...

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