Question

Decide whether the following statement is true or false. If the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote. Choose the correct answer below.
A. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the product of the leading coefficients.

B. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the ratio of the leading coefficients.

C. The statement is false because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has no horizontal or oblique asymptotes.

D. The statement is false because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has an oblique asymptote that is equal to the quotient found using polynomial division.

Answer 1

B. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the ratio of the leading coefficients.