Algebra-2

The function is:

 

To find the horizontal asymptote, we need to compare the degrees of the numerator and denominator polynomials.

 

The degree of the numerator polynomial is 3, as the highest exponent is 3.

The degree of the denominator polynomial is also 3, as the highest exponent is also 3.

 

When the degrees of the numerator and denominator are equal, the horizontal asymptote is given by the ratio of the leading coefficients.

 

The leading coefficient of the numerator is 3.

The leading coefficient of the denominator is 2.

 

Therefore, the horizontal asymptote of this function is:

 

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