Final answer:
The horizontal asymptote of a function with the numerator and denominator of the same degree is found by dividing the leading coefficient of the numerator by the leading coefficient of the denominator.
Step-by-step explanation:
When both the numerator and denominator of a rational function have the same degree, the horizontal asymptote can be determined by comparing the leading coefficients of the numerator and denominator.
To find the horizontal asymptote of a function where the degrees of the numerator and denominator are equal, you divide the leading coefficient of the numerator by the leading coefficient of the denominator.
If, for example, our function has a form f(x) = (ax^n + ...)/(bx^n + ...), where a and b are the leading coefficients, and n is the highest power that is the same for both the numerator and denominator, the horizontal asymptote will be the line y = a/b.