Question

K

Find the horizontal asymptote, if any, of the graph of the rational function.
20x²
Sử Hồ
g(x)=
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The horizontal asymptote is. (Type an equation.)
OB. There is no horizontal asymptote.

Answer 1

To find the horizontal asymptote of the rational function g(x) = 20x², we need to analyze the behavior of the function as x approaches positive or negative infinity.

In this case, since the degree of the numerator (20x²) is equal to the degree of the denominator (1), we can determine the horizontal asymptote by comparing the leading coefficients of the numerator and denominator.

The leading coefficient of the numerator is 20, and the leading coefficient of the denominator is 1. Therefore, the horizontal asymptote of the function is y = 0.

Thus, the correct choice is:
OA. The horizontal asymptote is y = 0.