The function y = 6/x - 3 has a horizontal asymptote. In rational functions, a horizontal asymptote exists when the degree of the numerator is equal to or less than the degree of the denominator. In this case, the function can be rewritten as y = (6 - 3x)/x, demonstrating that both the numerator and denominator have the same degree. Additionally, the vertical asymptote is located at x = 3, where the function is undefined.
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Yes, there is a horizontal asymptote. Any rational function in which the degree of the numerator is equal to the degree of the denominator or the degree of the numerator is less than that of the denominator always has a horizontal asymptote.Jan Hill said:Homework Statement
would there be a horizontal asymptote for y= 6/x - 3
Homework Equations
I know that the vertical asymptote is x =3 because there the expression is undefined