Algebra-2

To find the horizontal asymptote of the function , we compare the degrees of the numerator and the denominator.

 

1.Identify the degrees:

The degree of the numerator  is 1.

The degree of the denominator  is also 1.

 

2.To find horizontal asymptotes compare the degree of the numerator "N” to the degree of the denominator “D”

Case 1: if N < D, then horizontal asymptote is y = 0, the x-axis.

Case 2: if N = D, then the quotient obtained by the leading coefficients from N and D is the horizontal asymptote in a form of y = an/ad.

Case 3: if N > D, the quotient from long division (N polynomial divided by D polynomial) is the oblique asymptote in a form of y = the equation you got from long division.

 

Since N = D: We use Case 2.

Find the horizontal asymptote: The horizontal asymptote is given by the quotient of the leading coefficients. The leading coefficient of t...