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.