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.
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.
