If the graph of a function f approaches b as x increases or

If the graph of a function f approaches b as x increases or decreases without bound, then the line y=b is a of the graph of f.The equation of such a line for a graph of y= {x-10}/{3x^2+x+1}

Solution

It is the definition for horizontal asymptote.so y=b is a horizontal asymptote.

For the equation given it will be y=0 since the coefficient of x^2 in numerator is 0 and hence the ratio will be 0 .