For \( s(x)=\frac{x^{3}-3 x^{2}+3}{5 x+3} \), (a) Identify the horizontal asymptotes (if any). (b) If the graph of the function has any horizontal asymptote, determine the point (if any) where the graph crosses th horizontal asymptote(s). Write numbers as integers or simplified fractions. If there is more than one answer, use the "and" button. Select "None" if applicable. The graph has no horizontal asymptotes. Equation(s) of the horizontal asymptote(s): Crossover point(s): \( \square \)

To find the horizontal asymptote of the function \( s(x)=\frac{x^{3}-3 x^{2}+3}{5 x+3} \), we will analyze the degrees of the numerator and denominator. (a) The numerator \( x^{3}-3 x^{2}+3 \) has a degree of 3, while the denominator \( 5x+3 \) has a degree of 1. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. (b) As there is no horizontal asymptote established, the crossover point(s) is \( \text{None} \). Equation(s) of the horizontal asymptote(s): \( \text{None} \) Crossover point(s): \( \text{None} \)