Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction x minus 1 Over 3 x EndFraction f (x) = StartFraction 2 x squared Over 3 x minus 1 EndFraction f (x) = StartFraction 3 x squared Over x squared minus 1 EndFraction

Respuesta :

Answer:

[tex]f(x)=\frac{2x^2}{3x-1}[/tex]

Step-by-step explanation:

The function  [tex]f(x)=\frac{2x-1}{3x}[/tex] has a horizontal asymptote which is [tex]y=\frac{2}{3}[/tex]

The function  [tex]f(x)=\frac{x-1}{3x}[/tex] has a horizontal asymptote which is [tex]y=\frac{1}{3}[/tex]

The function  [tex]f(x)=\frac{2x^2}{3x-1}[/tex] has no horizontal asymptote  because the numerator has a degree which is higher than the degree of the denominator,

The function  [tex]f(x)=\frac{3x^2}{x^2-1}[/tex] has a horizontal asymptote which is [tex]y=3[/tex]

Answer:

f(x)=\frac{2x^2}{3x-1}

Step-by-step explanation:

The function   has a horizontal asymptote which is

The function   has a horizontal asymptote which is

The function   has no horizontal asymptote  because the numerator has a degree which is higher than the degree of the denominator,