Question

Which statement is true if the degree of the numerator polynomial function is equal to the degree of the denominator polynomial?

A. It has no horizontal asymptote.
B. It has only one vertical asymptote.
C. It has only one horizontal asymptote.
D. It has no vertical asymptote.

Answer 1

Answer: C. It has only one horizontal asymptote.

Explanation:

We know that if the degree of the numerator polynomial function is equal to the degree of the denominator polynomial then , there is only one horizontal asymptote at:

`y=\frac{\text{Leading coefficient of numerator }}{\text{Leading coefficient of deniominator}}`

Hence, the statement is true if the degree of the numerator polynomial function is equal to the degree of the denominator polynomial is " It has only one horizontal asymptote."