Question

how can we determine a horizontal asymptote?

Answer 1

If the degrees of the numerator and denominator are equal, then the horizontal asymptote is y = k where k is the ratio between the leading coefficients of the two (ie k = quotient of leading coefficients). Post a problem so we can walk you through it.

Answer 2

f(x)=(3x^2+2x-4)/(2x^2-x+1)

Answer 3

Degree of numerator = 2
Degree of denominator = 2

So we just divide the leading coefficient of the numerator (3) by the leading coefficient of the denominator (2) to get \[\frac{3}{2}\]


So the horizontal asymptote is \[y=\frac{3}{2}\]