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

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

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

`f(x)=(2x^2)/(3x-1)`

Explanation:

The function
`f(x)=(2x-1)/(3x)` has a horizontal asymptote which is
`y=(2)/(3)`

The function
`f(x)=(x-1)/(3x)` has a horizontal asymptote which is
`y=(1)/(3)`

The function
`f(x)=(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)=(3x^2)/(x^2-1)` has a horizontal asymptote which is
`y=3`