Question

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

Answer 1

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,

Answer 2

Answer:

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

Step-by-step explanation:

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

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

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

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