Find the horizontal asymptote of the graph of y=−2x6+5x+88x6+6x+5
To find the horizontal asymptote of the graph of the function y = (-2x^6 + 5x + 8)/(8x^6 + 6x + 5), we need to look at the degrees of the numerator and the denominator.
Since both the numerator and the denominator have the same highest degree term (x^6), the horizontal asymptote is given by the ratio of the coefficients of the highest degree terms.
In this case, the horizontal asymptote is y = -2/8 = -1/4.
So the horizontal asymptote of the graph of the function y = (-2x^6 + 5x + 8)/(8x^6 + 6x + 5) is y = -1/4.