Find the horizontal asymptote of the graph of y = -4x^6 + 6x + 3/8x^6 + 9x + 3
y=1
y=-1/2
y=0
There is no horizontal asymptote.

Option B : is the horizontal asymptote.

Explanation:

The function is

The horizontal asymptote can be determined by

Thus, from the function, the leading coefficient of numerator is -4

The leading coefficient of denominator is 8

Thus, substituting the values in the formula , we get,

Dividing, we get,

Thus, the horizontal asymptote is

Hence, Option B is the correct answer.